"Zero, give or take measurement errors." As related to the GP's assumption "seems a bit harsh to the cat" - in other words, "why are you microwaving your cat, you monster!!111!", not as related to data transfer.
Oh, okay, that makes sense; I have misread it as a rhetorical question, then.
The answer is "no, your cat won't get its brains cooked, not even after prolonged exposure" - there's not even enough juice in the battery to do that :)
Edited to add the direct quote.