Born with minimum of dosh in poverty (4)
I believe the answer is:
need
'poverty' is the definition.
(I know that need is a type of poverty)
'born with minimum of dosh' is the wordplay.
'born' becomes 'nee' ('nee' is 'born' in French).
'with' is a charade indicator (letters next to each other).
'minimum of' suggests taking the first letters.
The first letter of 'dosh' is 'd'.
'nee'+'d'='NEED'
'in' acts as a link.
(Other definitions for need that I've seen before include "Lack - demand" , "Distressful situation" , "Necessitate" , "Want - require(ment)" , "Necessity" .)