Crossword Genius

One drink like another? Two can play at that game! (3,5)

Ross

I believe the answer is:

gin rummy

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

'that game' is the definition.
(card game)

'one drink like another? two can play' is the wordplay.
'one drink' becomes 'gin' (gin is a kind of drink).
'like another? two can play' becomes 'rummy' (I can't explain this - if you can you should give a lot more credence to this answer).
'gin'+'rummy'='GIN RUMMY'

'at' acts as a link.

Can you help me to learn more?

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

I've seen this clue in The Telegraph.
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