I have been on sprycel (dasatinib) a little over a year now. I'm hot natured so it rarely makes me cold, but this week I have been freezing. Is this common?

Communicate with you. I am sure you have a hematologist/oncologist who gave you this medicine. It is good to communicate with him/her. The answers will be best found by informing your doctor. They may need to check your thyroid functions to be sure you are not hypothyroid.