Suggest almost always accepting fine (5)
I believe the answer is:
evoke
'suggest' is the definition.
('evoke' can be a synonym of 'suggest')
'almost always accepting fine' is the wordplay.
'almost' means to remove the last letter (most of the word but not all of it).
'always' becomes 'ever' ('ever' can be a synonym of 'always').
'accepting' is an insertion indicator.
'fine' becomes 'ok' ('OK' can be a synonym of 'fine').
'ever' with its final letter removed is 'eve'.
'eve' going around 'ok' is 'EVOKE'.
(Other definitions for evoke that I've seen before include "Induce" , "Kindle (memory)" , "Summon up" , "call-up" , "Rekindle" .)