Work in Greek island European parliament backed (5)
I believe the answer is:
Here is my best explanation:
'work in greek' is the definition.
'island european parliament backed' is the wordplay.
'island' becomes 'i'.
'european parliament' becomes 'dail' (Dail Eireann, part of Irish parliament).
'backed' says the letters should be written backwards.
'dail' in reverse letter order is 'liad'.
(Other definitions for iliad that I've seen before include "Homer's ancient Greek epic", "story of Mediterranean heroism", "Great poem by Homer", "[EPIC POEM]", "No short tale", "literary work", "Epic work", "Work by Homer", "heroic work" and "Long Homeric poem".)