Enchant, captivate (7)
I believe the answer is:
beguile
I believe this clue is a double definition.
'enchant' is the first definition.
(I know that enchant can be written as beguile)
'captivate' is the second definition.
(I know that captivate can be written as beguile)
(Other definitions for beguile that I've seen before include "Charm or captivate" , "Charm, divert" , "Charm, win the interest of" , "Win the attention of, charm" , "Captivate - deceive" .)