Being trimmed makes father angry! (5)
I believe the answer is:
pared
'being trimmed' is the definition.
(I've seen this in another clue)
'father angry' is the wordplay.
'father' becomes 'pa' (pa can mean dad or father).
'angry' becomes 'red' (someone may go red when angry).
'pa'+'red'='PARED'
'makes' acts as a link.
(Other definitions for pared that I've seen before include "Trimmed - peeled" , "Did prune" , "Whittled as with pencil" , "Trimmed like pencil." , "Peeled the outer surface" .)