Family member housed in back street digs (6)
I believe the answer is:
taunts
'digs' is the definition.
(I've seen this before)
'family member housed in back street' is the wordplay.
'family member' becomes 'aunt' (sister of a parent).
'housed in' is an insertion indicator.
'back' says the letters should be written in reverse.
'street' becomes 'st' (abbreviation).
'st' written backwards gives 'ts'.
'aunt' placed inside 'ts' is 'TAUNTS'.
(Other definitions for taunts that I've seen before include "Jeers, mocks" , "'Jeers, provokes (6)'" , "Provokes -- a stunt (anag)" , "'Tantalises, baits (6)'" , "Mocks, derides" .)