Pay close attention mostly to one stirring game (4,5)

I believe the answer is:

stud poker

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'game' is the definition.
(stud poker is a kind of game)

I don't understand the rest of the clue.

(Other definitions for stud poker that I've seen before include "Card gambling game -- Turk's dope (anag)" , "Gambling game with some cards turned face up" , "Variation of five-card gambling game" , "It involves dealer" .)

I've seen this clue in The Guardian.

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