Persuade by flattery (7)
(Other definitions for wheedle that I've seen before include "Deploy sweet talk" , "Wheeled around to coax" , "Cajole or attempt to persuade by flattery" , "Entice by soft words" , "Inveigle using sweet-talk" .)
'persuade by flattery' is the definition.
(I've seen this before)
This is the entire clue.
(Other definitions for cajole that I've seen before include "Wheedle, sweet-talk" , "Coax through flattery" , "Urge by gentle flattery" , "'Coax, inveigle (6)'" , "Wheedle - coax" .)