Pop art movement snubbed (3)
I believe the answer is:
dad
'pop' is the definition.
(both can mean one's father)
'art movement snubbed' is the wordplay.
'art movement' becomes 'Dada' (Dada is an example).
'snubbed' means to remove the last letter (could historically mean cutting the end off).
'dada' with its last letter taken away is 'DAD'.
(Other definitions for dad that I've seen before include "Popular father - a palindrome" , "Pa" , "Mum's mate" , "Papa" , "Popular and informal father" .)