Study of Ruxolitinib in Relapsed or Refractory T or NK Cell Lymphoma

Inclusion Criteria: * Pathologically confirmed T or NK cell lymphoma at the enrolling institution. For CTCL, patients with stage IB disease or greater are eligible. * Relapse or refractory disease after at least 1 systemic therapy except for T-PLL, LGL, or T-cell Lymphoproliferative diseases with JAK2 fusion. * Untreated patients may be allowed after discussion with P.I. * Age ≥ 18 * ECOG ≤ 2 * Measurable disease defined by: * Lugano Classification for systemic lymphoma or * Atypical and or malignant lymphocytes quantifiable by flow cytometry or morphology in blood or bone marrow or * mSWAT \> 0 or Sezary count ≥ 1000 cells/μL for CTCL * Previous systemic anti-cancer therapy for T-cell lymphoma must have been discontinued at least 2 weeks prior to treatment. * Glucocorticoids aimed at controlling lymphoma-related symptoms are allowed as long as they are tapered down to 20mg or less by the time of ruxolitiib initiation * Topical steroids for CTCL are permitted * See section 6.2 Subject Exclusion Criteria for guideline regarding adjuvant and maintenance therapy for prior malignancy * Patients must meet the following lab criteria: * ANC ≥ 1.0/mm\^3 or ANC \>/= 0.5/mm\^3 (if patient has baseline neutropenia due to lymphoma), platelets ≥ 100 x 10\^9/L or ≥ 50 x 10\^9/L (if related to lymphoma), Hgb ≥ 8g/dL * Patients with LGL or T-PLL are not required to meet a minimum ANC or hemoglobin value for eligibility * Total bilirubin ≤ 1.5 x upper limit of normal (ULN) or; ≤ 3 x ULN if documented hepatic involvement with lymphoma, or ≤ 5 x ULN if history of Gilbert's ; AST and ALT ≤ 3 x ULN; ≤ 5 x ULN if due to lymphoma involvement * Creatinine clearance ≥ 30 mL/min; creatinine clearance of 15-29 mL/min will be allowed as long as baseline platelets are ≥ 150 x 10\^9/L * For patients with positive hepatitis B core antibody or surface antigen, hepatitis B PCR must be negative and prophylaxis with entecavir or equivalent is required. * Patients with HIV are allowed provided that they are on anti-retroviral treatment with no active infections. Exclusion Criteria: * Any serious medical condition, laboratory abnormality, or psychiatric illness that would prevent the subject from signing the informed consent form. * Uncontrolled concurrent illness including, but not limited to, ongoing or active infection, uncontrolled diabetes, clinically significant pneumonitis, symptomatic congestive heart failure, unstable angina pectoris, cardiac arrhythmia, or psychiatric illness/social situations that would limit compliance with study requirements. * ECOG performance status \>2 * Prior therapy with ruxolitinib * Receiving systemic therapy for another primary malignancy (other than T-cell lymphoma) * Patients with more than one type of lymphoma may be enrolled after discussion with the MSK Principal Investigator * Adjuvant or maintenance therapy to reduce the risk of recurrence of other malignancy (other than T-cell lymphoma) is permissible after discussion with the MSK principal Investigator * Women of reproductive potential† must have a negative Serum ß human chorionic gonadotropin (ß-HCG) pregnancy test. * A female of reproductive potential is a sexually mature female who: has not undergone a hysterectomy or bilateral oophorectomy; or has not been naturally postmenopausal for at least 24 consecutive months (i.e. has had menses at any time in the preceding 24 consecutive months).