Here is game with drunken groom about to wake up (6,4)
I believe the answer is:
grouse moor
'here is game' is the definition.
(grouse are game, in the hunting sense)
'drunken groom about to wake up' is the wordplay.
'drunken' indicates an anagram.
'about' indicates putting letters inside.
'to wake up' becomes 'rouse' (I've seen this before).
'groom' is an anagram of 'gmoor'.
'gmoor' placed around 'rouse' is 'GROUSE MOOR'.
'with' acts as a link.
(Other definitions for grouse moor that I've seen before include "reserve for game" , "place for sport" , "Bird shooting land" .)