This is one of the various small animals found on the Sto Plains or on the pathways and roads, as well as in various gardens around the disc. They seem to be various colours and alignments.
Features of Rabbits
You can, when holding a knife, get parts from the corpse of a rabbit.
The eyes can be used in a few Wizards' spells,Pragi's Fiery Gaze Pragi's Lost Gaze
The skin or fur or hide or pelt
Vic, the tanner in Ohulan Cutash buys animal hides. You can then use the money to buy armour, clothing, etc.
There is a tannery near the Genuan embassy in Ankh Morpork that also buys hides.
There is a furrier [] in Mad Wolf that will make custom fur items. []
You can also sell the entire corpse of an animal in the Butchers' Guild in Ankh Morpork . There might be some restrictions on what corpses they take. I have only ever tried chicken, but other animals, such as rabbit, may well work.
You may need to pickle the corpse/body part, either by using a player shop pickling machine, or a wand made from Collatrap's Instant Pickling Stick which you hold and 'zap'. Corpse parts eventually disappear if not pickled.