Incite, goad (3,2)
I believe the answer is:
egg on
This clue is a double definition.
'incite' is the first definition.
(synonyms)
'goad' is the second definition.
(I've seen this in another clue)
(Other definitions for egg on that I've seen before include "this face is obvious embarrassment" , "Prompt" , "Urge (someone) to take risks" , "Soldier may have this" , "Push" .)