Rubbish from house cut, impressing wife (7)
I believe the answer is:
hogwash
'rubbish' is the definition.
(I have seen 'Utter rubbish ' mean 'hogwash' so perhaps 'rubbish' could also mean 'hogwash')
'house cut impressing wife' is the wordplay.
'house' becomes 'ho' (abbreviation for house).
'cut' becomes 'gash' ('gash' can be a synonym of 'cut'**).
'impressing' indicates putting letters inside (impress historically meant to conscript).
'wife' becomes 'w'.
'gash' placed around 'w' is 'gwash'.
'ho'+'gwash'='HOGWASH'
'from' acts as a link.
(Other definitions for hogwash that I've seen before include "Colloquial nonsense to pig cleanser" , "Pigswill - nonsense!" , "Piffle" , "tripe" , "bull" .)