Fan with drink after drink (9)
I believe the answer is:
supporter
'fan' is the definition.
(thesaurus)
'drink after drink' is the wordplay.
'drink' becomes 'sup' (I've seen this before).
'after' means one lot of letters go next to another.
'drink' becomes 'porter' (porter is a kind of drink**).
'sup'+'porter'='SUPPORTER'
'with' is the link.
(Other definitions for supporter that I've seen before include "Champion" , "Second" , "Fan; heraldic figure" , "One helping" , "Advocate" .)