This is a randomized, controlled pilot study to introduce eMedonline telemonitoring technology to CML patients taking Gleevec or Tasigna. eMedonline will be used to automatically collect time-dose specific medication data for individual patients, including dosing times, missed doses, adverse events and e-diary data. All data will be available to research staff for remote review via Web interface. Adverse events and non-adherence will prompt interventions including supportive care counseling.