Lack of time following drink (8)
I believe the answer is:
shortage
'lack of' is the definition.
(I've seen this before)
'time following drink' is the wordplay.
'time' becomes 'age' (age is a kind of time).
'following' is a charade indicator (letters next to each other).
'drink' becomes 'short' (**).
'age' after 'short' is 'SHORTAGE'.
(Other definitions for shortage that I've seen before include "Insufficiency" , "Scarcity" , "Want" , "Deficit" , "Need" .)