Follow drinker's last drink (6)
I believe the answer is:
chaser
'drink' is the definition.
(I've seen this before)
'follow drinker's last' is the wordplay.
'follow' becomes 'chase' (synonyms).
'drinker's last' becomes 'r' (I am not sure about this - if you are sure you should believe this answer much more).
'chase'+'r'='CHASER'
Can you help me to learn more?
(Other definitions for chaser that I've seen before include "Follow-up drink" , "Drink that follows immediately after another one" , "Drink following another of a different kind" , "Beer after spirits e.g." , "different drink to follow" .)