Coax, wheedle (6)
I believe the answer is:
cajole
This clue is a double definition.
'coax' is the first definition.
(I know that coax can be written as cajole)
'wheedle' is the second definition.
(I know that wheedle can be written as cajole)
(Other definitions for cajole that I've seen before include "Inveigle by gentle urging" , "Gently influence" , "Coax, try to persuade" , "Try to influence" , "Persuade by coaxing" .)