Research facility receiving money for family for this young thing (7)
I believe the answer is:
lambkin
'this young thing' is the definition.
(a young lamb)
'research facility receiving money for family' is the wordplay.
'research facility' becomes 'lab' (laboratory).
'receiving' is an insertion indicator.
'money' becomes 'm' (abbreviation in economics).
'for' means one lot of letters go next to another.
'family' becomes 'kin' (synonyms).
'lab' placed around 'm' is 'lamb'.
'lamb'+'kin'='LAMBKIN'
'for' acts as a link.
(Other definitions for lambkin that I've seen before include "Little creature" , "Ducks" , "pet" , "Little offspring of sheep" , "Small woolly jumper" .)