A Study Using Two Oral Chemotherapy Agents for Chronic Lymphocytic Leukemia

Inclusion Criteria: 1. Understand and voluntarily sign a written informed consent including a HIPAA form according to institutional guidelines 2. Age ≥18 years at the time of signing the informed consent form. 3. Able to adhere to the study visit schedule and other protocol requirements. 4. Immunophenotypically confirmed diagnosis of B-CLL, who either have Rai stage III/IV disease or require treatment for Rai stage I/II disease as defined by criteria based on the NCI 1996 guidelines (Appendix VII and IX). 5. Relapsed and/or refractory disease to a purine nucleoside analogue (pentostatin, fludarabine, or cladribine). Relapse is defined as a patient who has previously achieved the clinicopathologic criteria for a CR or PR, but after a period of ≥ 6 months demonstrates evidence of disease progression. Refractory is defined as a patient progressing on therapy or who cannot maintain at least a PR for ≥ 6 months (Appendix IV). The patient may have had therapy subsequent to receiving a purine nucleoside analogue, but must also have relapsed or been refractory to this most recent therapy (Appendix IV). 6. ECOG performance status of ≤ 2 at study entry (see Appendix X). 7. Laboratory test results within these ranges: * Absolute neutrophil count ≥ 1,000/mm3 * Platelet count ≥ 50,000/mm³ * Serum creatinine ≤ 1.5 mg/dL. Subjects with serum creatinine \> 1.5 mg/dL may be eligible if they have creatinine clearance of ≥ 60 mL/min by Cockroft-Gault formula. * Total bilirubin ≤ 1.5 mg/dL * AST (SGOT) and ALT (SGPT) ≤ 2 x ULN or ≤ 5 x ULN if hepatic metastases are present. 8. Disease free of prior malignancies for ≥ 5 years with exception of currently treated basal cell, squamous cell carcinoma of the skin, or carcinoma "insitu" of the cervix or breast. Patients with low- and intermediate-risk prostate cancer who have had either local therapy (radiation or surgery) or are actively receiving hormonal therapy will also be allowed. Patients being observed with "watchful waiting" will be excluded. Low- and intermediate-risk prostate cancer will be defined as PSA ≤ 20, Gleason score ≤ 7, and AJCC clinical stage of ≤ T2b. 9. Females of childbearing potential (FCBP)† must have a negative serum or urine pregnancy test with a sensitivity of at least 50 mIU/mL within 10 - 14 days prior to and again within 24 hours of starting lenalidomide and must either commit to continued abstinence from heterosexual intercourse or begin TWO acceptable methods of birth control, one highly effective method and one additional effective method AT THE SAME TIME, at least 28 days before she starts taking lenalidomide. FCBP must also agree to ongoing pregnancy testing. Men must agree to use a latex condom during sexual contact with a FCBP even if they have had a successful vasectomy. All patients must be counseled at a minimum of every 28 days about pregnancy precautions and risks of fetal exposure. See Appendix I: Risks of Fetal Exposure, Pregnancy Testing Guidelines and Acceptable Birth Control Methods, AND also Appendix II: Education and Counseling Guidance Document. 10. Ability to take oral medication (dasatinib and lenalidomide must be swallowed whole). 11. Concomitant Medications * Patient agrees to discontinue St. Johns Wort while receiving dasatinib therapy (discontinue St. Johns Wort at least 5 days before starting dasatinib) * Bisphosphonate use will be restricted Exclusion Criteria: 1. Any serious medical condition, laboratory abnormality, or psychiatric illness that would prevent the subject from signing the informed consent form. 2. Pregnant or breast feeding females. (Lactating females must agree not to breast feed while taking lenalidomide and/or dasatinib) 3. Any condition, including the presence of laboratory abnormalities, which places the subject at unacceptable risk if he/she were to participate in the study or confounds the ability to interpret data from the study. 4. Use of any other experimental drug or therapy within 28 days of baseline. 5. Known hypersensitivity to thalidomide 6. The development of erythema nodosum if characterized by a desquamating rash while taking thalidomide or similar drugs. 7. Any prior use of lenalidomide or dasatinib 8. Known positive for HIV or infectious hepatitis, type A, B or C. 9. Prisoners or subjects who are compulsorily detained (involuntarily incarcerated) for treatment of either a psychiatric or physical (e.g., infectious) illness 10. Women who: * are unwilling or unable to use an acceptable method to avoid pregnancy for the entire study period and for at least 4 weeks after cessation of study drug, or * have a positive pregnancy test at baseline, or * are pregnant or breastfeeding 11. Concomitant Medications, any of the following should be considered for exclusion: * Category I drugs that are generally accepted to have a risk of causing Torsades de Pointes including: (Patients must discontinue drug 7 days prior to starting dasatinib) * quinidine, procainamide, disopyramide * amiodarone, sotalol, ibutilide, dofetilide * erythromycin, clarithromycin * chlorpromazine, haloperidol, mesoridazine, thioridazine, pimozide * cisapride, bepridil, droperidol, methadone, arsenic, chloroquine, domperidone, halofantrine, levomethadyl, pentamidine, sparfloxacin, lidoflazine 12. History of significant bleeding disorder unrelated to cancer, including: * Diagnosed congenital bleeding disorders (e.g., von Willebrand's disease) * Diagnosed acquired bleeding disorder within one year (e.g., acquired anti-factor VIII antibodies) * Ongoing or recent (≤ 3 months) significant bleeding from any cause 13. Cardiac Symptoms; any of the following should be considered for exclusion: * Uncontrolled angina, congestive heart failure or MI within (6 months) * Diagnosed congenital long QT syndrome * Any history of clinically significant ventricular arrhythmias (such as ventricular tachycardia, ventricular fibrillation, or Torsades de pointes) * Prolonged QTc interval on pre-entry electrocardiogram (\> 450 msec) * Subjects with hypokalemia or hypomagnesemia if it cannot be corrected prior to dasatinib administration 14. Concurrent medical condition which may increase the risk of toxicity, including: • Pleural or pericardial effusion of any grade 15. Evidence of laboratory TLS by Cairo-Bishop criteria (Appendix XIII) (subjects may be enrolled upon correction of electrolyte abnormalities) 16. Patients with an increased risk for thromboembolic events at baseline, including patients with a history of prior thrombosis