Movie director Kazan (4)
I believe the answer is:
'movie director kazan' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for elia that I've seen before include "1A [SHEEPISH] part of 26 [LAMB-DA]" , "Essays of - (Charles Lamb)" , "Pseudonym adopted by Charles Lamb" , "Pen-name of essayist Charles Lamb" , "Pseudonym of Charles Lamb, 1775-1834" .)