Therapy of Chronic Lymphocytic Leukemia With Dasatinib (BMS-354825)

Inclusion Criteria: 1. Diagnosis of CLL, Small lymphocytic lymphoma (SLL), or -cell prolymphocytic leukemia (T-PLL). 2. Previously treated with chemotherapy or monoclonal antibodies. 3. All patients with Rai stage III-IV are eligible. - OR - Patients with Rai stage 0-II who meet one or more indication for treatment as defined by the NCI-sponsored Working Group are eligible:Massive or progressive splenomegaly; Massive lymph nodes, nodal clusters, or progressive lymphadenopathy; Grade 2 or 3 fatigue, fever \>/= 100.5 degrees F, night sweats for \> 2 weeks w/o documented infection, presence of weight loss \>/= 10% over the preceding 6 months; Progressive lymphocytosis with increase in lymphocyte count of \>/= 50% over a 2-month period or an anticipated doubling time of \< 6 months. 4. Serum bilirubin less than 2mg/dL, serum creatinine less than 2mg/dL unless abnormality is considered due to CLL by investigator. 5. The Eastern Cooperative Oncology Group (ECOG) Performance Status \< 3. 6. Patients must sign an informed consent indicating they are aware of the investigational nature of this study, in keeping with the policies of the hospital. 7. Sexually active women of childbearing potential must use birth control during study in manner that risk of failure is minimized. Prior to study enrollment women of childbearing potential must be advised of importance of avoiding pregnancy during trial and potential risk factors for unintentional pregnancy. MUST have negative pregnancy test. If pregnancy test is positive patient must not receive investigational product and must not be enrolled in study. Men enrolled on study should understand risks to sexual partner of childbearing potential and practice effective birth control. 8. Inclusion of women and minorities: As per NIH policy, women and members of minorities will be included in this protocol as they are referred in the relevant populations. There are no exclusions of women or minorities based on the study objectives. 9. New York Heart Association (NYHA) Class \< 3 10. Patients must sign informed consent. Exclusion Criteria: 1. Pregnant or breast-feeding women are excluded. 2. Patients may not receive concurrent chemotherapy, radiotherapy, or immunotherapy. Localized radiotherapy to an area not compromising bone marrow function does not apply, nor do hematopoietic growth factors such as erythropoietin, G-CSF, GM-CSF etc. 3. Patients must not have untreated or uncontrolled life-threatening infection. 4. Uncontrolled angina within 3 months; diagnosed or suspected congenital long QT syndrome; any history of clinically significant ventricular arrhythmias; prolonged QTc interval (\> 450 msec); uncontrolled hypertension; significant bleeding disorder unrelated to cancer; patients currently taking drugs that are generally accepted to have a risk of causing Torsades de Pointes. 5. Medications that inhibit platelet function (i.e., aspirin, dipyridamole, epoprostenol, eptifibatide, clopidogrel, cilostazol, abciximab, ticlopidine, and any non-steroidal anti-inflammatory drug) or Anticoagulants (warfarin, heparin/low molecular weight heparin \[e.g., danaparoid, dalteparin, tinzaparin, enoxaparin\]).