Who are you, why are you here, and WHAT HAVE YOU DONE WITH OUR GATOR

You are an imposter. There is no way Gator comes on asking for kitty cat advice. (Unless he has finally been totally tamed)

But try gently rubbing that soft fuzzy belly while you go nuzzle to nuzzle with them. No tongue though, they clean dirty parts with it! . Maybe ask a vet or use the Googlie thing.

Serious note..........

It might not be the gut, sometimes it's just overly aggressive cleaning which can put a lot of hair in there which can cause vomiting.