There's no real cure for fin-biting nor has any definitive reason been established. As suggested, warm and clean water will help prevent secondary problems such as fin rot but only time will tell if he stops or continues. I don't think daily water changes are really necessary, however.
Biting is the bane of owners who have Betta with such long, lovely fins. Sometimes they figure out it's easier to swim and maneuver with a shorter caudal. :-(
I do question: Since there aren't really "chunks" removed, is there any ornament in there which could be splitting his caudal?