Graduate after drink in dance (5)
I believe the answer is:
rumba
'dance' is the definition.
(rumba is a type of dance)
'graduate after drink' is the wordplay.
'graduate' becomes 'BA' (someone with a Bachelor of Arts degree).
'after' is a charade indicator (letters next to each other).
'drink' becomes 'rum' (rum is a kind of drink).
'ba' put after 'rum' is 'RUMBA'.
'in' acts as a link.
(Other definitions for rumba that I've seen before include "South American dance" , "Dance originating in Cuba" , "What to perform" , "Cuban folk-dance" , "Cuban folk dance" .)