Copied primate and daughter (4)
I believe the answer is:
aped
'copied' is the definition.
('ape' can be a synonym of 'copy')
'primate and daughter' is the wordplay.
'primate' becomes 'ape' (large primate).
'and' is a charade indicator (letters next to each other).
'daughter' becomes 'd' (genealogical abbreviation).
'ape'+'d'='APED'
(Other definitions for aped that I've seen before include "Imitated like primate" , "Imitated in every aspect" , "Followed" , "Imitated, mimicked" , "Caricatured" .)