Intoxicating game? (3,5)

I believe the answer is:

gin rummy

I'm a little stuck... Click here to teach me more about this clue!

'intoxicating game?' is the definition.
'gin rummy' can be an answer for 'game?' (card game). I am unsure of the 'intoxicating' bit.

'intoxicating game?' is the wordplay.
'intoxicating' becomes 'gin' (I am not sure about this - if you are sure you should believe this answer much more).
'game?' becomes 'rummy' (rummy is a kind of game).
'gin'+'rummy'='GIN RUMMY'

Can you help me to learn more?

(Other definitions for gin rummy that I've seen before include "cards" , "Card game" .)

I've seen this clue in The Telegraph.

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