Persuade, cajole (4)
I believe the answer is:
coax
I believe this clue is a double definition.
'persuade' is the first definition.
(to coax someone is to persuade them)
'cajole' is the second definition.
(I know that cajole can be written as coax)
(Other definitions for coax that I've seen before include "Attempt to manipulate" , "Get round" , "Persuade; type of cable" , "attempt to influence" , "Gently persuade" .)