Not in any way missing wife’s interference (5)
I believe the answer is:
noise
'interference' is the definition.
(I know that interference can be written as noise)
'not in any way missing wife's' is the wordplay.
'not in any way' becomes 'nowise' (I've seen this in another clue).
'missing' is a deletion indicator.
'wife' becomes 'w' (abbreviation).
'nowise' with 'w' taken out is 'NOISE'.
(Other definitions for noise that I've seen before include "Confused sounds" , "Racket, din" , "Clamour" , "Sound of any kind" , "Uproar" .)