Fellow from Fair Isle, possibly - or fellow from Middle East (7)
I believe the answer is:
israeli
'fellow from middle east' is the definition.
'fellow from fair isle possibly' is the wordplay.
'fellow' becomes 'f' (abbreviation - of a society etc.).
'from' suggests deleting specific letters.
'possibly' indicates anagramming the letters.
'fair'+'isle'='fairisle'
'fairisle' with 'f' taken away is 'airisle'.
'airisle' is an anagram of 'ISRAELI'.
'or' is the link.
(Other definitions for israeli that I've seen before include "Citizen of Middle Eastern state" , "Jew, possibly" , "Statesman" , "From Jerusalem, perhaps" , "Citizen of a country 'born' in 1948" .)