Subcutaneous Recombinant Human IL-15 (s.c. rhIL-15) and Alemtuzumab for People With Refractory or Relapsed Chronic and Acute Adult T-cell Leukemia (ATL)

Background: * A previous trial alemtuzumab (CAMPATH-1) in patients with chronic, acute and lymphomatous subtype HTLV-1 associated ATL showed appreciable initial activity but no clear long-term impact. * Antibody dependent cellular cytotoxicity (ADCC) with polymorphonuclear neutrophils (PMNs), monocytes and natural killer (NK) cells acting as the effector cells is alemtuzumab s primary in vivo mechanism of action for depleting malignant leukemic or lymphomatous cells. * The immunologic effects of Interleukin-15 (IL-15), a stimulatory cytokine that promotes the differentiation and activation of NK cells, monocytes and long-term cluster of differentiation 8 (CD8+) memory Tcells, has been assessed in several phase I trials in cancer patients. * Administration of recombinant human (rh) IL-15 as an intravenous bolus (IVB), continuous intravenous infusion (CIV) or subcutaneous injections (SC) into adult cancer patients has produced 5 to 50 fold expansion in the number of circulating NK cells at well tolerated doses in these patients. * Preclinical murine lymphoid malignancy models have shown efficacy from the administration of IL-15 and monoclonal antibodies, with improved survival compared to controls. Objective: -To determine the safety, toxicity profile and the maximum tolerated dose (MTD) of s.c. rhIL-15 in combination with standard three times per week IV alemtuzumab treatment. Eligibility: * Age greater than or equal to 18 years old * Eastern Cooperative Oncology Group (ECOG) Performance Status less than or equal to 1 * Diagnosis of adult T-cell leukemia (Human T-cell lymphotropic virus type 1 (HTLV-1) associated, chronic or acute), peripheral T-cell lymphoma (angioimmunoblastic, hepatosplenic, or not otherwise specified), cutaneous T-cell lymphoma (Stage III or IV, with leukemia involvement or erythrodemia), or T-cell prolymphocytic leukemia (T-PLL) * Measurable or evaluable disease * Adequate organ and bone marrow function as defined in the protocol. Design: * This is a single institution nonrandomized Phase I dose escalation study evaluating increasing doses of subcutaneous (SC) rhIL-15 in combination with alemtuzumab using a standard 3 + 3 dose escalation. * Treatment will include s.c. rhIL015 daily Monday-Friday (M-F) weeks 1 and 2 (dose levels 0.5- 2 mcg/kg/dose), followed by intravenous (IV) alemtuzumab beginning in week 3 (escalating doses followed by standard dosing in weeks 4-6). * Up to 30 patients will be enrolled in this study.