Dasatinib in Treating Patients With Chronic Myelogenous Leukemia or Acute Lymphoblastic Leukemia

DISEASE CHARACTERISTICS:

* Diagnosis of one of the following hematologic malignancies:

  * Chronic phase chronic myelogenous leukemia (CML)

    * In complete hematologic response after treatment on protocol UCLA-0303035, as indicated by the following criteria:

      * WBC ≤ upper limit of normal (ULN)
      * Platelet count \< 450,000/mm\^3
      * No blasts or promyelocytes in peripheral blood
      * Less than 5% myelocytes plus metamyelocytes in peripheral blood
      * Peripheral blood basophils ≤ ULN
      * No extramedullary involvement (including no hepatomegaly or splenomegaly)
      * Response lasting ≥ 4 weeks after first documentation
  * Accelerated or blastic phase CML or acute lymphoblastic leukemia

    * In major hematologic response\* after treatment on protocol UCLA-0303035, defined as 1 of the following:

      * In complete hematologic response\*, as indicated by the following criteria:

        * WBC ≤ ULN
        * Absolute neutrophil count ≥ 1,000/mm\^3
        * Platelet count ≥ 100,000/mm\^3
        * No blasts or promyelocytes in peripheral blood
        * Bone marrow blasts ≤ 5%
        * Less than 5% myelocytes plus metamyelocytes in peripheral blood
        * Peripheral blood basophils ≤ ULN
        * No extramedullary involvement (including no hepatomegaly or splenomegaly)
      * No evidence of leukemia, as indicated by the following criteria:

        * WBC ≤ ULN
        * No blasts or promyelocytes in the peripheral blood
        * Bone marrow blasts ≤ 5%
        * Less than 5% myelocytes plus metamyelocytes in peripheral blood
        * Peripheral blood basophils ≤ ULN
        * No extramedullary involvement (including no hepatomegaly or splenomegaly)
        * Absolute neutrophil count ≥ 500/mm\^3 and \< 1,000/mm\^3 AND platelet count ≥ 20,000/mm\^3 and \< 100,000/mm\^3
    * In minor hematologic response\* after treatment on protocol UCLA-0303035, as indicated by the following criteria:

      * Less than 15% in bone marrow and \< 15% in peripheral blood
      * Less than 30% blasts plus promyelocytes in bone marrow and \< 30% blasts plus promyelocytes in peripheral blood
      * Less than 20% basophils in peripheral blood
      * No extramedullary disease other than spleen and liver NOTE: \*Response confirmed after ≥ 4 weeks allowed provided there is no concurrent anagrelide or hydroxyurea during this time
* Philadelphia chromosome-positive (Ph+) disease
* Resistant or intolerant to prior imatinib mesylate
* Received and benefitted from ≥ 3 months of prior therapy with dasatinib on protocol UCLA-0303035

PATIENT CHARACTERISTICS:

* ECOG performance status 0-2
* Not pregnant or nursing
* Negative pregnancy test
* Fertile patients must use effective contraception during and for 12 weeks after completion of study treatment
* No serious uncontrolled medical disorder
* No active infection that would preclude study participation
* No uncontrolled angina within the past 3 months
* No diagnosed or suspected congenital long QT syndrome
* No history of clinically significant ventricular arrhythmias (e.g., ventricular tachycardia, ventricular fibrillation, or torsades de pointes)
* QTc ≤ 450 msec on electrocardiogram
* No uncontrolled hypertension
* No dementia or altered mental status the would prohibit the understanding or rendering of informed consent
* No history of the following significant bleeding disorders unrelated to CML:

  * Diagnosed congenital bleeding disorders (e.g., von Willebrand's disease)
  * Diagnosed acquired bleeding disorder in the past year (e.g., acquired antifactor VIII antibodies)
* Not involuntarily incarcerated for either psychiatric or physical (e.g., infectious disease) illness
* No patients who are imprisoned
* No clinical adverse event, laboratory abnormality, or intercurrent illness that may preclude study treatment, in the opinion of the investigator
* Bilirubin \< 1.5 mg/dL
* ALT and AST \< 2 times upper limit of normal (ULN)
* Creatinine \< 1.5 times ULN

PRIOR CONCURRENT THERAPY:

* See Disease Characteristics
* No concurrent use of the following drugs that may confer risk of torsades de pointes:

  * 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
* No other concurrent treatment for CML except for hydroxyurea for a 2-week duration
* No concurrent medications that inhibit platelet function (e.g., aspirin, dipyridamole, epoprostenol, eptifibatide, clopidogrel, cilostazol, abciximab, ticlopidine, or any nonsteroidal anti-inflammatory drug)\* except for hydroxyurea or anagrelide
* No concurrent anticoagulants (e.g., warfarin or heparin/low molecular weight heparin \[e.g., danaparoid, dalteparin, tinzaparin, or enoxaparin\]) except as prophylaxis for catheter thrombosis and/or heparin flushes for IV lines\* NOTE: \*Allowed if received previously on UCLA-0303035