Promote rebel after American intervention (5,2)
I believe the answer is:
raise up
'promote' is the definition.
(raise up can mean to promote or lift)
'rebel after american intervention' is the wordplay.
I cannot really see how this works, but
'american' could be 'a' (common abbreviation - e.g. in organisation names) and 'a' is located in the answer.
'rebel' could be 'rise' (synonyms) and 'rise' is found within the leftover letters.
The remaining letters 'up' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...
(Another definition for raise up that I've seen is " Lift".)