Having got hair back, father becomes social outcast! (6)
I believe the answer is:
pariah
'social outcast' is the definition.
(I've seen this in another clue)
'having got hair back father' is the wordplay.
I cannot really see how this works, but
an anagram of 'hair' is 'riah' which is present in the answer.
'father' could be 'pa' (pa can mean dad or father) and 'pa' is found within the answer.
No letters remain.
This explanation may well be incorrect...
'becomes' acts as a link.
Can you help me to learn more?
(Other definitions for pariah that I've seen before include "Outcast (state)" , "Person despised and avoided" , "who is spurned by others?" , "Outcast (dog)" , "Unacceptable person" .)