Headgear for local game (5)
I believe the answer is:
derby
I believe this is a double definition.
'headgear' is the first definition.
(I know that derby is a type of hat)
'local game' is the second definition.
(I've seen this before)
'for' is the link.
(Other definitions for derby that I've seen before include "Flat race; hat" , "Gracefully thin" , "Local contest" , "close match?" , "Bowler hat (US)" .)