Bird that can cough things up? (4)
I believe the answer is:
hawk
This clue is a double definition.
'bird' is the first definition.
(I know that hawk is a type of Bird of prey)
'that can cough things up?' is the second definition.
(hawk can mean to clear one's throat)
(Other definitions for hawk that I've seen before include "Falcon" , "Clear throat; bird; board to carry mortar" , "Aggressive person" , "Flog" , "peddle goods > BIRD" .)