Dance from graduate following alcohol (5)
I believe the answer is:
rumba
'dance' is the definition.
(rumba is a kind of dance)
'graduate following alcohol' is the wordplay.
'graduate' becomes 'ba'.
'following' says to put letters next to each other.
'alcohol' becomes 'rum' (rum is a kind of alcohol).
'ba' after 'rum' is 'RUMBA'.
'from' is the link.
(Other definitions for rumba that I've seen before include "Rhythmic dance of Cuban origin" , "Lively Cuban dance" , "Latin American dance" , "What to perform" , "South American dance" .)