Left out of divorce payments, needing credit instead makes for bitterness (8)
I believe the answer is:
acrimony
'bitterness' is the definition.
(synonyms)
'left out of divorce payments needing credit instead' is the wordplay.
I cannot quite understand how this works, but
'of' could be 'o' and 'o' is found within the answer.
'credit' could be 'cr' and 'cr' is found in the answer.
This explanation may well be incorrect...
'makes for' acts as a link.
(Other definitions for acrimony that I've seen before include "poison" , "'Bitterness, acerbity (8)'" , "'Bitterness, sharpness (8)'" , "Bitter feeling" , "Bitterness of manner or words" .)