The most common and most likely answer to this crossword clue is the 9 letter word MAH-JONGG
I've seen this crossword clue in The Times
M
A
H
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J
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G
G
More clues leading to the result MAH-JONGG
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The straight part
We know that "game" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case game = mah-jongg.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
Crossword Answer definitions
MAH-JONGG noun- A game (originally Chinese) for four players, using a collection of tiles divided into five or six suits.
- A solitaire game using the same tiles, where the player wins by removing pairs of matching exposed tiles until none remain.