Cajole, coax (8)
I believe the answer is:
inveigle
I believe this clue is a double definition.
'cajole' is the first definition.
(I know that cajole can be written as inveigle)
'coax' is the second definition.
(I know that coax can be written as inveigle)
(Other definitions for inveigle that I've seen before include "Persuade by cajolery" , "Persuade by deception" , "Coax, sweet-talk" , "Con" , "Persuade by trickery - given lie (anag)" .)