One of our barn cats got its tail broken in a door when he was 8 months old. He hissed and screamed and wouldnt let us catch him for a few hours. Then after he settled down we caught him and it was deffiantly broke, took him to the vet and the vet said that basically we should have his tail amputated or else he will chew it off from pain. Well we didnt have the money for that and the cat was calmed down so we decided to take him home and care for him. Other than feeling sorry for himself he was mostly fine, and quite enjoyed being spoiled. Now he is 3 years old and has a kinked floppy tail, but is a happy healthy cat. So while maybe some cats would chew off their tails, its not all cats.