Islander fighting under pressure after evacuation of country (7)
I believe the answer is:
cypriot
'islander' is the definition.
(Cyprus is an island)
'fighting under pressure after evacuation of country' is the wordplay.
'fighting' becomes 'riot' (I can't explain this - if you can you should believe this answer much more).
'under' is a charade indicator (letters next to each other) (below, in a down clue).
'pressure' becomes 'p' (scientific abbreviation).
'after' says to put letters next to each other.
'evacuation of' suggests removing the centre (the inside letters vacate the word).
'country' with its centre removed is 'cy'.
'p' after 'cy' is 'cyp'.
'riot' put after 'cyp' is 'CYPRIOT'.
Can you help me to learn more?
(Other definitions for cypriot that I've seen before include "One from Paphos, say" , "Eg, a native of Nicosia" , "One from Larnaka, say" , "One from Larnaca, say" , "Nationality of citizen of Nicosia" .)