Destitute family put into street (5)
I believe the answer is:
skint
'destitute' is the definition.
'family put into street' is the wordplay.
'family' becomes 'kin' ('kin' can be a synonym of 'family').
'put into' indicates putting letters inside.
'street' becomes 'st'.
'kin' inserted inside 'st' is 'SKINT'.
(Other definitions for skint that I've seen before include "Broke (sl.)" , "Extremely poor" , "Hard-up" , "Informally, having no money left" , "Stony-broke" .)