Avoiding both fringes, old Labour leader starts to eat next to Green (8)
I believe the answer is:
innocent
'to green' is the definition.
(thesaurus)
I don't understand the rest of the clue.
Can you help me to learn more?
(Other definitions for innocent that I've seen before include "Free from evil or guilt" , "Naive person" , "Free of any blame" , "Name of 13 popes and one anti-pope" , "Pope" .)