Crossword Genius

Is this opened by White Rabbit and Hare, say, limping? (4)

Ross

I believe the answer is:

game

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'limping?' is the definition.
(thesaurus)

I cannot understand how the remainder of the clue works.

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(Other definitions for game that I've seen before include "Eager and willing to accept challenge" , "partridge, pheasant ...?" , "Willing; plucky" , "Food from wild animals" , "See 8" .)

I've seen this clue in The Telegraph.
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