Complaint, one of many that gamekeeper has? (6)

I believe the answer is:

grouse

I believe this clue is a double definition.

'complaint' is the first definition.
(I've seen this before)

'one of many that gamekeeper has?' is the second definition.
(a gamekeeper might keep grouse)

(Other definitions for grouse that I've seen before include "1D [GAMEBIRD] < having grumble" , "Bird - complaint" , "Gripe; game bird" , "Complain like game bird" , "Petty complaint" .)

I've seen this clue in The Telegraph.

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