Everyman shall pass on acrimony (3,4)
I believe the answer is:
ill will
'acrimony' is the definition.
(thesaurus)
'everyman shall pass on' is the wordplay.
'everyman' becomes 'i' (where the crossword setter is 'Everyman').
'shall' becomes ''ll'.
'pass on' becomes 'will' (as in passing on or willing something in a will).
'i'+'ll'+'will'='ILL-WILL'
(Other definitions for ill will that I've seen before include "Enmity" , "Animosity, hostile feeling" , "Disposition of enemy" , "Rancour" , "Hostile, unfriendly feeling" .)