A father’s taken up artistic movement (4)
I believe the answer is:
dada
'artistic movement' is the definition.
(Dada is an example)
'a father's taken up' is the wordplay.
'father' becomes 'dad' (dad is a kind of father**).
'taken up' shows that the letters should be reversed in order.
'a'+'dad'='adad'
'adad' written backwards gives 'DADA'.
(Other definitions for dada that I've seen before include "Precursor of surrealism" , "Early 20th-century arts movement, emphasizing the absurd" , "form of art" , "short-lived artistic movement" , "modern artistic movement" .)