Daughter's after her father's flat (3)
I believe the answer is:
pad
'flat' is the definition.
(a person's home)
'daughter's after her father's' is the wordplay.
I cannot really understand how this works, but
'father' could be 'pa' (pa can mean dad or father) and 'pa' is present in the answer.
'daughter' could be 'd' (genealogical abbreviation) and 'd' is found in the answer.
This accounts for all the letters.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for pad that I've seen before include "wearing this?" , "Block of paper; go silently" , "Sole" , "Sports guard; home (colloq.)" , "Protective guard; home" .)