Over the years of various Gleevec clinical trials, about 1% of patients self-reported some type of heart issue (self reporting means these were not verified as actually caused by Gleevec). See data below. Note that 1% is likely what would occur in the standard population that is not taking Gleevec. Overall, there is no hard evidence that Gleevec affects the heart at the dosages we take. There was one recent study that showed some impact at the equivalent of a 150 pound person taking approx 3500mg per day (more than 4 times maximum approved dosage). But I always say that side effects are different for each of us. For example, if a person has an edema problem (fluid build-up) in the chest area, then this could possibly squeeze on the heart if edema occurs in that area. That is not truly a heart issue, but it could feel like it. But as far as an actual direct impact of Gleevec on the heart, there is currently no verified connection that I can find.
Cardiac Disorders
Estimated 0.1%-1%: congestive cardiac failure, tachycardia, palpitations, pulmonary edema,
Estimated 0.01%-0.1%: arrhythmia, atrial fibrillation, cardiac arrest, myocardial infarction, angina pectoris, pericardial effusion
Source: http://www.rxlist.com/gleevec-drug.htm (Page 3)