Fine antelope in country turned up in Chinese art (4,2)
I believe the answer is:
kung fu
'chinese art' is the definition.
I can't explain the rest of the clue.
(Other definitions for kung fu that I've seen before include "Chinese system of unarmed combat like karate" , "Chinese form of unarmed combat, was a TV serial" , "fighting" , "'A Chinese martial art (4,2)'" , "Chinese type of karate" .)