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 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.
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.
Corpse parts eventually completely decompose if not pickled.