Lenalidomide and Ibrutinib in Treating Patients With Relapsed or Refractory B-Cell Non-Hodgkin Lymphoma

Inclusion Criteria: * Histologically confirmed B-cell non-Hodgkin's lymphoma (NHL) of any of the following subtypes recognized by the World Health Organization (WHO) classification: diffuse large B-cell lymphoma, mantle cell lymphoma, marginal zone lymphoma, lymphoplasmacytic lymphoma, or follicular lymphoma; patients with evidence of histological transformation to diffuse large B-cell lymphoma from indolent NHL are eligible * Patients must have received at least one prior therapy; prior autologous stem cell transplant is permitted; patients with diffuse large B-cell lymphoma who have not received high-dose therapy (HDT)/autologous stem cell transplant (ASCT) must be ineligible for HDT/ASCT; prior allogeneic stem cell transplant is not permitted; prior ibrutinib is not permitted * Age \>= 18 years. Because no dosing or adverse event data are currently available on the use of ibrutinib in combination with lenalidomide in patients \< 18 years of age, children are excluded from this study, but will be eligible for future pediatric trials * Eastern Cooperative Oncology Group (ECOG) performance status =\< 2 (Karnofsky \>= 60%) * Life expectancy of greater than 12 weeks * Patients must have normal organ and marrow function, independent of growth factor or transfusion support; patients should not receive growth factors or transfusions for at least 7 days prior to first dose of study drug, with the exception of pegylated G-CSF (pegfilgrastim) and darbepoeitin which require at least 14 days prior to screening and randomization * Absolute neutrophil count \>= 1,000/mcL in the absence of growth factor administration * Platelets \>= 50,000/mcL in the absence of transfusion support within 7 days prior to determination of eligibility * Total bilirubin =\< 1.5 x upper limit of normal (ULN) unless due to Gilberts disease * Aspartate aminotransferase (AST) (serum glutamic oxaloacetic transaminase \[SGOT\])/alanine aminotransferase (ALT) (serum glutamate pyruvate transaminase \[SGPT\]) =\< 2.5 X institutional upper limit of normal unless due to disease * Creatinine =\< 2.0 mg/dL OR creatinine clearance \>= 50 mL/min as determined by the Cockcroft-Gault equation or a 24 hour urine collection * Non-pregnant and non-nursing; due to the known teratogenic potential of lenalidomide and the unknown teratogenic potential of ibrutinib, pregnant or nursing patients may not be enrolled; females of childbearing potential (FCBP) must have a negative serum or urine pregnancy test with a sensitivity of at least 25 mIU/mL within 10-14 days prior to and again within 24 hours of starting cycle 1 of lenalidomide; further, they must either commit to continued abstinence from heterosexual intercourse or begin TWO acceptable methods of birth control: one highly effective method and one additional effective method AT THE SAME TIME, at least 28 days before starting lenalidomide and for 28 days after the last dose of study drug; FCBP must also agree to ongoing pregnancy testing; men must agree to use a latex condom during sexual contact with a FCBP even if they have had a successful vasectomy; a FCBP is a female who: 1) has achieved menarche at some point, 2) has not undergone a hysterectomy or bilateral oophorectomy; or 3) has not been naturally postmenopausal (amenorrhea following cancer therapy does not rule out childbearing potential) for at least 24 consecutive months (i.e., has had menses at any time in the preceding 24 consecutive months); all patients must be counseled by a trained counselor every 28 days about pregnancy precautions and risks of fetal exposure * Patients with human immunodeficiency virus (HIV) infection are eligible provided they meet the following criteria: no evidence of co-infection with hepatitis B or C, cluster of differentiation (CD)4 count \>= 400 cells/mm\^3, no resistant viral strains, on highly active antiretroviral treatment (HAART) therapy with a viral load \< 50 RNA copies/ml, and no history of acquired immunodeficiency syndrome (AIDS)-defining conditions * Ability to understand and the willingness to sign a written informed consent document * Curative therapy must have been exhausted or not feasible to administer; patients with diffuse large B-cell lymphoma, germinal center subtype should only enroll on the study if there are no other potentially effective therapeutic options Exclusion Criteria: * Patients who have had chemotherapy or radiotherapy within 4 weeks (6 weeks for nitrosoureas or mitomycin C) prior to entering the study or those who have not recovered from adverse events due to agents administered more than 4 weeks earlier; steroids used for disease related symptoms should be stopped within 48 hours of protocol therapy; patients who have had prior exposure to a Bruton's tyrosine kinase (BTK) inhibitor; patients who received monoclonal antibody =\< 6 weeks prior to first administration of study treatment * Patients who are receiving any other investigational agents * Patients with active central nervous system (CNS) involvement with lymphoma should be excluded from this clinical trial because of their poor prognosis and because they often develop progressive neurologic dysfunction that would confound the evaluation of neurologic and other adverse events * History of allergic reactions attributed to lenalidomide or compounds of similar chemical or biologic composition to lenalidomide including thalidomide * Patients receiving any medications or substances that are strong inhibitors or strong inducers of cytochrome P450, family 3, subfamily A, polypeptide 4 (CYP3A4) are ineligible; because the lists of these agents are constantly changing, it is important to regularly consult a frequently-updated list; medical reference texts such as the Physicians' Desk Reference may also provide this information; as part of the enrollment/informed consent procedures, the patient will be counseled on the risk of interactions with other agents, and what to do if new medications need to be prescribed or if the patient is considering a new over-the-counter medicine or herbal product * Uncontrolled intercurrent illness including, but not limited to, ongoing or active infection, or psychiatric illness/social situations that would limit compliance with study requirements; currently active clinically significant cardiovascular disease such as uncontrolled arrhythmia, congestive heart failure or class 3 or 4 congestive heart failure as defined by the New York Heart Association Functional Classification, or history of myocardial infarction, unstable angina or acute coronary syndrome within 6 months prior to randomization * Recent infections requiring systemic treatment need to have completed therapy \> 14 days before the first dose of study drug * Medications with a risk of causing Torsades de Pointes are not permitted; although concomitant treatment with corrected QT (QTc) prolonging agents is not strictly prohibited, these agents should be avoided whenever possible and an alternative non-QTc prolonging drug should be substituted if possible * Patients requiring any therapeutic anticoagulation are excluded; patients who have received warfarin or other vitamin K antagonists within 28 days or are taking warfarin or other vitamin K antagonists are not eligible * Patients who are within 4 weeks of major surgery or within 2 weeks of minor surgery * Concurrent systemic immunosuppressant therapy other than corticosteroids (e.g. cyclosporine A, tacrolimus, etc) within 28 days of the first dose of study drug * Vaccinated with live attenuated vaccines within 4 weeks of first dose of study drug * Unresolved toxicities from prior anti-cancer therapy, defined as having not resolved to Common Terminology Criteria for Adverse Event (CTCAE, version 5), grade =\< 1, or to the levels dictated in the inclusion/exclusion criteria with the exception of alopecia * Known bleeding disorders (e.g. von Willebrand's disease) or hemophilia * Unwilling or unable to participate in all required study evaluations and procedures * Currently active, clinically significant hepatic impairment (\>= moderate hepatic impairment according to the National Cancer Institute (NCI)/Child Pugh classification * Patients requiring daily corticosteroids at a prednisone equivalent of \>= 20 mg daily should not be enrolled; if corticosteroids can be discontinued (or reduced to \< 20 mg per day of prednisone or equivalent), the discontinuation or dose reduction should be done at least 7 days prior to first dose * Unable to swallow capsules, or disease significantly affecting gastrointestinal function, or resection of the stomach or small bowel, or symptomatic inflammatory bowel disease or ulcerative colitis, or partial or complete bowel obstruction * Serologic status reflecting active hepatitis B or C infection; patients that are positive for hepatitis B core antibody, hepatitis B surface antigen (HBsAG), or hepatitis C antibody, must have a negative polymerase chain reaction (PCR) prior to enrollment; (PCR positive patients will be excluded)