He's always short of time (3)
I believe the answer is:
tim
'he's' is the definition.
(short for Timothy)
'short of time' is the wordplay.
'short of' means to remove the last letter (I've seen 'short' mean this).
'time' with its last letter taken away is 'TIM'.
'always' is the link.
I am not very happy about this link. It may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for tim that I've seen before include "Adjoin" , "Tiny ..., Bob Cratchit's son in A Christmas Carol" , "Tiny chap" , "-- Brooke-Taylor, comic" , "Tiny . . . is a loveable boy in fiction" .)