A small animal that is used as a fashion accessory. This animal is treated less as a pet, than as merely another accessory to draw increased attention to its owner/wearer.
These animals are usually carried around in a purse or bag, are often small dogs, whom are usually seen shaking and cowering in fear.
The accessapet is not limited to dogs. Cats, birds, snakes, rodents, ferrets (yes I KNOW that a ferret is a rodent, but feel that it justifies its own classification here) have been known to be forced into this role as well.
Paris Hilton carries an accessapet to many social functions.
Check out that girl over there with another one of those damn accessapets.