Person having very little money left (4)
I believe the answer is:
soul
'person' is the definition.
(synonyms)
'very little money left' is the wordplay.
'very little money' becomes 'sou' (I've seen this before).
'left' becomes 'l' (common abbreviation).
'sou'+'l'='SOUL'
'having' acts as a link.
(Other definitions for soul that I've seen before include "Essence" , "Spirit, inner self" , "Glaser's partner" , "Essential part" , "Deep feeling - music genre" .)