Fusion Protein Cytokine Therapy After Rituximab in Treating Patients With B-Cell Non-Hodgkin Lymphoma

Inclusion * Patients with CD20-expressing B cell NHL that is relapsed or refractory to standard therapy; CLL/SLL with peripheral blood leukemia/lymphoma cells and high-grade lymphomas (i.e., lymphoblastic lymphoma/Burkitt lymphoma) are excluded * Patients must have received prior Rituxan * Measurable disease; in the absence of lymphadenopathy, splenomegaly with defects or measurable extramedullary disease is acceptable; however, bone marrow involvement alone will not be included in the study * Age \>=18 years and \<=65 physiologic years of age * KPS \>= 70% * Life expectancy \>= 12 weeks * Serum creatinine =\< 1.5 mg/dl * Total WBC \>= 3000/ul or absolute neutrophil count (ANC) \>= 1000/ul * Lymphocyte count \>= 0.2 x 10\^3/ul * Platelet count \>= 75,000/ul * Hematocrit \>= 25% or hemoglobin \>= 9 g/100 ml * Alanine aminotransferase (ALT) =\< 2.5 x UNL * Aspartate aminotransferase (AST) =\< 2.5 x UNL * Total bilirubin (TBili) \< 1.5 x UNL * Sodium, potassium, and phosphorus within normal limits * Chest x ray (CXR) within 4 weeks prior to Day 1 with no evidence of pulmonary congestion, pleural effusions, pulmonary fibrosis, or significant emphysema; if results are questionable, subjects would have additional lung function testing to exclude clinically relevant restriction or obstruction; subjects must have an FEV-1 and DLCO of at least 65% and 50% of expected, respectively * Electrocardiogram (12-lead ECG) * Echocardiogram (or MUGA) with normal left ventricular function * Cardiac stress test (e.g., stress thallium scan, stress echocardiography) with normal results if subject is suspected to have coronary artery disease * Fasting blood glucose (FBG) \< 160 and hemoglobin (Hgb) A1C \< 7% for subjects with diabetes mellitus (DM) or borderline DM * Women of procreative potential must have negative pregnancy test within the 2-week screening phase prior to Cycle 1, and all subjects of procreative potential must use adequate birth control throughout the study; subjects of procreative potential are defined as any fertile male, and any female who has experienced menarche and has not undergone successful surgical sterilization (hysterectomy or bilateral oophorectomy) or is not post-menopausal, defined as age-related amenorrhea \>= 12 months * Provide written informed consent prior to any screening procedures Exclusion * Evidence of CNS lymphoma or lymphomatous meningitis * Prior treatment with IL-2 * Type I hypersensitivity or anaphylactic reactions to murine proteins or to previous infusion of rituximab * Pregnant or lactating female * An immediate need for palliative radiotherapy or systemic corticosteroid therapy * Known intercurrent infections (including hepatitis C virus \[HCV\] and HIV or other conditions), or clinical evidence of these conditions * Actively infected with or chronic carriers of hepatitis B virus (HBV) as demonstrated by positive hepatitis B core antibody (HbcHb) or hepatitis B surface antigen (HbsAg); (subjects who are sero-positive only, i.e., surface antibody positive \[HbsAg\], are permitted) * Other significant active infection * Major surgery, chemotherapy, investigational agent, or radiation within 30 days of Day 1 * Uncontrolled hypertension (diastolic \>= 100 mmHg) or hypotension (systolic =\< 90 mmHg) * History of repeated and clinically relevant episodes of syncope or other paroxysmal, ventricular, or other significant arrhythmias * On ECG: a marked baseline prolongation of QT/QTc interval (\> grade 2 QTc interval \> 470 milliseconds) * History of medically significant ascites requiring repetitive paracentesis * Previous diagnosis of Addison's disease * Previous diagnosis of autoimmune disease (exceptions: subjects with autoimmune thyroiditis or vitiligo may be enrolled) * Organ transplant recipient * History of prior therapy or a serious, uncontrolled medical disorder that in the investigator's opinion would impair participation in the study * Known hypersensitivity to Tween-80 or human immunoglobulin * Legal incapacity or limited legal capacity * Patients with bulky lymph nodes (\>= 10cm) or marked splenomegaly (i.e., extending into pelvis or crossing the midline) * Positive anti-DI-Leu16-IL2 antibody assay (where positive is defined as \> 10% of the radiolabeled DI-Leu16-IL2 reactive with the subject's serum)