Suggest slyly (9)
I believe the answer is:
insinuate
'suggest slyly' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for insinuate that I've seen before include "Intimate with annuities" , "Intimate, give to understand" , "Snidely suggest" , "Annuities (anag.)" , "Hint" .)