used to bring me lizards all the time when I lived in Florida. She's bring them in through the "cat door" and then drop them in the living room where they very often got away from her. So they were on our walls and I was constantly catching them and putting them out the front door.

This morning I checked on Kitty out front who was playing with a full grown praying mantis. When she dropped it, it reared back on it's legs and started jabbing at her with it's extended claws. And turned around to look at ME, when I came by to rescue it.
Pretty feisty creatures. Ever seen the film where they can catch (and eat) a humming bird in flight??