A game for green players (5)

I believe the answer is:

bowls

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'a game' is the definition.
(I know that bowls is a type of bowling)

I don't understand the rest of the clue.

(Other definitions for bowls that I've seen before include "Game played on green" , "Kitchen vessels" , "Game; vessels" , "Containers for fruit" , "They're rolled towards jack" .)

I've seen this clue in the Evening Standard.

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