Healing process getting both sides in debate to vote (5)
I believe the answer is:
detox
'healing process' is the definition.
(type of medical treatment)
'both sides in debate to vote' is the wordplay.
'both sides in' means to remove the middle letters (only the side letters remain).
'vote' becomes 'x' (how votes are marked).
'debate' with its centre removed is 'de'.
'de'+'to'+'x'='DETOX'
'getting' is the link.
(Other definitions for detox that I've seen before include "Period of abstention" , "Removal of bodily poisons" , "Process of removing poisons from the body" , "Treatment for alcoholism" , "Remove poisons from the body" .)