Well I think thats great I wish my Tweety would do the same , she brings in all the critters she can find,she has quietened down a bit as its winter but spring is ahead and no doubt it'll be lizard time again, Yuck, I must have saved the lives of dozens, chasing her around till she drops them, same with birds, its my main occupation in The spring ..lol .
I never knew that their tails come off, not tweetys, the lizard's so the first time I saw it happen and this tail was left wriggling whilst I rescued the lizard was really the worst thing I have seen in many a moon...