Staff's shaggy hair cut (3)
I believe the answer is:
man
'staff's' is the definition.
(as in staffing or manning a particular place)
'shaggy hair cut' is the wordplay.
'shaggy hair' becomes 'mane' (I've seen this in another clue).
'cut' means to remove the last letter.
'mane' with its final letter taken off is 'MAN'.
(Other definitions for man that I've seen before include "-- Friday" , "Irish Sea isle" , "Where people compete to win TT" , "Provide with crew" , "Adult human male" .)