Worked hard having no time to get drunk (5)
I believe the answer is:
oiled
'get drunk' is the definition.
(I've seen this before)
'worked hard having no time' is the wordplay.
'worked hard' becomes 'toiled' (I've seen this in another clue).
'having no' suggests deleting specific letters.
'time' becomes 't' (abbreviation).
'toiled' with 't' removed is 'OILED'.
'to' acts as a link.
(Other definitions for oiled that I've seen before include "protected from rust?" , "get drunk" , "Anointed" , "wasted" , "greasy" .)