Born in unending need (3)
I believe the answer is:
nee
'born' is the definition.
('nee' is 'born' in French)
'unending need' is the wordplay.
'unending' means to remove the last letter (the word doesn't have its end letter).
'need' with its last letter taken off is 'NEE'.
'in' acts as a link.
(Other definitions for nee that I've seen before include "Born as (French)" , "(Of married woman) born (with name)" , "indicate old name" , "Prefix to married woman's maiden name" , "Born (female)" .)