Look after male at home with daughter (4)
I believe the answer is:
mind
'look after' is the definition.
(I've seen this before)
'male at home with daughter' is the wordplay.
'male' becomes 'm' (common abbreviation).
'at home' becomes 'in' ('I'm in' can mean 'I'm at home').
'with' says to put letters next to each other.
'daughter' becomes 'd' (genealogical abbreviation).
'm'+'in'+'d'='MIND'
(Other definitions for mind that I've seen before include "Look after" , "Intellect; object to" , "Take offence (at)" , "Seat of the faculty of reason" , "Watch - intellect" .)