Possible Clues:

• Equestrian's seat
• Riding need
• Lamb joint
• No time in Middle East to put one over on Arabian
• Some initially confuse the sheepish type's joint
• Last of the latecomers gets rotten seat
• Butcher's cut from the back of an animal
• Take the top off where you sit and it will go to the bad
• Jockey's need
• Wrangler's seat