Tooth and Claw is a fantasy novel by Jo Walton, published in November 2003, from Tor Books, and in paperback in December 2004. It won the World Fantasy Award in 2004.
It's a novel of manners in which all the characters are dragons and eat each other
First chapter of Tooth and Claw available to read.
Some kind things people have said about Tooth and Claw
Some reviews online:
Sherwood Smith on Sf SiteStrange Horizons
James Schellenberg on Challenging Destiny