There is a general rule here: any animal that can be caught in some form will, sooner or later, be turned into a sport and probably a pet.
In a fantasy setting, I imaging this would lead to such exciting things as capturing baby wyverns, sticking them in barrels, and standing in the barrel for longer than your opponent, and hoping that the swelling in your balls from the wyvern venom ever went down.
Or the ever popular pet displacer beast.