Men's game (4)
I believe the answer is:
stag
This clue is a double definition.
'men's' is the first definition.
(I've seen this before)
'game' is the second definition.
(stags are game in the hunting sense)
(Other definitions for stag that I've seen before include "Deer; with only men" , "This party is for men only" , "Male at party?" , "Antlered beast" , "Horned animal" .)