Another drink for the hunter (6)
I believe the answer is:
chaser
I believe this is a double definition.
'another drink' is the first definition.
(I've seen this before)
'the hunter' is the second definition.
(I've seen this before)
'for' is the link.
(Other definitions for chaser that I've seen before include "Milder drink taken after a stronger one" , "Racehorse - search (anag)" , "Pursuit cannon; one engraving" , "Follow-up drink" , "Beer after whisky, say (or vice versa)" .)