Father Abraham originally in nihilistic art movement (4)
I believe the answer is:
dada
'nihilistic art movement' is the definition.
(I've seen this in another clue)
'father abraham originally' is the wordplay.
'father' becomes 'dad' (informal term for father).
'originally' indicates taking the first letters.
The initial letter of 'abraham' is 'a'.
'dad'+'a'='DADA'
'in' is the link.
(Other definitions for dada that I've seen before include "Irreverent Twentieth Century art movement" , "Early 20th-century arts movement, emphasizing the absurd" , "Man Ray's art movement" , "Early C 20 art movement" , "modern artistic movement" .)