Destitute family put in street (5)
I believe the answer is:
skint
'destitute' is the definition.
'family put in street' is the wordplay.
'family' becomes 'kin' (synonyms).
'put in' is an insertion indicator.
'street' becomes 'st' (abbreviation).
'kin' placed within 'st' is 'SKINT'.
(Other definitions for skint that I've seen before include "Having little money" , "Informally, having no money left" , "Impecunious" , "Hard-up" , "Hard up (slang)" .)