Drink to my success in a card game (5)

I believe the answer is:

rummy

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

'success in a card game' is the definition.
'rummy' can be an answer for 'game' (rummy is a kind of game). I am unsure of the 'success in a card' bit.

'drink to my' is the wordplay.
'drink' becomes 'rum' (rum is a kind of drink).
'rum'+'my'='RUMMY'

Can you help me to learn more?

(Other definitions for rummy that I've seen before include "Card game; strange; like a spirit" , "Two-pack card game" , "Odd; card-game" , "game of cards" , "with an alcoholic taste?" .)

I've seen this clue in the Evening Standard.

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