Brownie (old style) or CB, Trapper, Chomps and TD (the four Pound Puppies currently). The former "mascot" is the little elf depicted on a number of older style hats, etc. His name was, oddly enough, "Brownie." The newer mascots of the Cleveland Browns are four POUND PUPPIES named: CB (for Cleveland Browns): To see pictures of these gorgeous guys, go to: http://www.clevelandbrowns.com/kidszone/mascot.php
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The Cavaliers' mascot is a dog named Moondog. Click on the 'Moondog' link on this page to read about Moondog and see pictures.
The Cleveland Cavaliers mascot is a brown dog named Moondog. He is named after the famous oldies festival held in Cleveland every year called the moonlight coronation ball.