Fear about to be suppressed by father (5)
I believe the answer is:
dread
'fear' is the definition.
(I know that fear can be written as dread)
'about to be suppressed by father' is the wordplay.
'about' becomes 're' ('re' means regarding or about).
'to be suppressed by' means one lot of letters goes inside another (I've seen this in other clues).
'father' becomes 'dad' (informal term for father).
're' going into 'dad' is 'DREAD'.
(Other definitions for dread that I've seen before include "fright" , "Anticipate with horror" , "Be afraid of - anxiety" , "Great fear or apprehension" , "great anxiety" .)