PRIMARY OBJECTIVES:
      I. To evaluate the safety and tolerability of itacitinib in combination with alemtuzumab in
      patients with T-cell prolymphocytic leukemia (T-PLL).
      SECONDARY OBJECTIVES:
      I. To evaluate the event free survival (EFS) in patients (pts) with T-PLL treated with
      itacitinib in combination with alemtuzumab.
      II. To evaluate response complete remission (CR), complete remission without blood count
      recovery (CRi), or partial remission (PR) (CR/CRi or PR) of itacitinib in combination with
      alemtuzumab in patients with T-PLL.
      III. To explore the single-agent activity of itacitinib in pts with T-PLL. IV. To assess the
      time to response, response duration, and overall survival (OS) in pts with T-PLL treated with
      the combination of itacitinib and alemtuzumab.
      EXPLORATORY OBJECTIVES:
      I. To explore the effect of itacitinib on STAT5 phosphorylation in pts with T-PLL II. To
      explore the association of pretreatment somatic mutations and the dynamics of STAT5
      phosphorylation with response.
      OUTLINE: This is a dose-escalation study of alemtuzumab.
      CYCLE 1: Patients receive itacitinib orally (PO) once daily (QD) on days 1-28 and alemtuzumab
      intravenously (IV) over 2 hours on days 15, 17, 19, 21, 23, 25, and 27 in the absence of
      disease progression of unacceptable toxicity.
      CYCLE 2 AND BEYOND: Patients receive itacitinib PO QD on day 1-28 and alemtuzumab IV over 2
      hours on days 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, and 27. Treatment repeats every
      28 days for up to 4 cycles in the absence of disease progression or unacceptable toxicity.
      MAINTENANCE: Patients who achieve a response (CR/CRi or PR) may receive itacitinib for up to
      8 additional cycles in the absence of disease progression or unacceptable toxicity.
      After completion of study treatment, patients are followed up periodically.
    
        Inclusion Criteria:
          -  Patients with a diagnosis of T-cell prolymphocytic leukemia (T-PLL) will be eligible
             (both treatment naïve and relapsed patients are eligible).
          -  Age >/= 18 years.
          -  Patients must not have had chemotherapy or antibody therapy for 7 days prior to
             starting ITACITINIB. However, patients with rapidly proliferative disease may receive
             hydroxyurea or decadron until 24 hours prior to starting therapy on this protocol.
          -  Adequate organ function as defined below: liver function (bilirubin </=2mg/dL, AST and
             ALT </=3 x ULN or </=5 x ULN if related to leukemic involvement); kidney function
             (estimated creatinine clearance > 50); known cardiac ejection fraction of > or = 45%
             within the past 3 months; and platelet count </=30,000.
          -  ECOG performance status of </= 2.
          -  A negative urine pregnancy test is required within 1 week for all women of
             childbearing potential prior to enrolling on this trial.
          -  Patient must have the ability to understand the requirements of the study and signed
             informed consent. A signed informed consent by the patient or his legally authorized
             representative is required prior to their enrollment on the protocol.
        Exclusion Criteria:
          -  Patients with a diagnosis of T-cell prolymphocytic leukemia (T-PLL) will be eligible
             (both treatment naïve and relapsed patients are eligible).
          -  Age >/= 18 years.
          -  Patients must not have had chemotherapy or antibody therapy for 7 days prior to
             starting ITACITINIB. However, patients with rapidly proliferative disease may receive
             hydroxyurea or decadron until 24 hours prior to starting therapy on this protocol.
          -  Adequate organ function as defined below: liver function (bilirubin </=2mg/dL, AST and
             ALT </=3 x ULN or </=5 x ULN if related to leukemic involvement); kidney function
             (estimated creatinine clearance > 50); known cardiac ejection fraction of > or = 45%
             within the past 3 months; and platelet count </=30,000.
          -  ECOG performance status of </= 2.
          -  A negative urine pregnancy test is required within 1 week for all women of
             childbearing potential prior to enrolling on this trial.
          -  Patient must have the ability to understand the requirements of the study and signed
             informed consent. A signed informed consent by the patient or his legally authorized
             representative is required prior to their enrollment on the protocol.