Go along with and have a drink (7)

I believe the answer is:

indulge

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'a drink' is the definition.
(thesaurus)

I can't explain the remainder of the clue.

(Other definitions for indulge that I've seen before include "Pamper, spoil" , "take to the drink?" , "Give free rein to" , "Coddle while eluding." , "Enjoy to excess" .)

I've seen this clue in the Evening Standard.

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