Is he half cut? (3)
I believe the answer is:
hal
'is he' is the definition.
'half cut?' is the wordplay.
'cut?' means to remove the last letter (I've seen 'cut' mean this).
'half' with its last letter removed is 'HAL'.
(Other definitions for hal that I've seen before include "Henry (abbrev.)" , "Shakespeare's Prince_with Falstaff" , "Bluff Prince" , "future Henry V" , "Henry, in short" .)