Yeah, I know what you mean. I think it might be because the tile movement is set for 16x16 assets, and the cat is technically 16x16, but it doesn't actually fill the whole 16x16 if you know what I mean. So it sometimes feels like it should be stopping, but if you're already starting to move to the next tile it keeps going. At least, that's what I think you're describing. I've noticed it too.
Anyway. I will take another look at the whole thing when the jam is over.
Cheers.