Promote more (7)
I believe the answer is:
further
This clue is a double definition.
'promote' is the first definition.
(furthering is a kind of promoting)
'more' is the second definition.
('further' can be a synonym of 'more')
(Other definitions for further that I've seen before include "Beyond; also" , "To somewhere more advanced" , "In addition, also" , "To, or at, a greater extent, degree, or a more advanced stage" , "Moreover" .)