Encourage suits to leave suggestion (3,2)
I believe the answer is:
egg on
'encourage' is the definition.
(to egg somebody on is to encourage them)
'suits to leave suggestion' is the wordplay.
I cannot really see how this works, but
'leave' could be 'go' and 'go' is found in the answer.
This may be the basis of clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for egg on that I've seen before include "this face is obvious embarrassment" , "Push" , "Urge, impel" , "Urge (someone) to take risks" , "Incite, encourage" .)