Win over, make beloved (6)
I believe the answer is:
endear
I believe this is a double definition.
'win over' is the first definition.
(I've seen this in another clue)
'make beloved' is the second definition.
(I've seen this before)
(Other definitions for endear that I've seen before include "Attract" , "Make popular" , "Neared so as to make loved" , "Win over" , "Make love" .)