She's almost Hibernian (4)
I believe the answer is:
iris
'she's' is the definition.
(I've seen this before)
'almost hibernian' is the wordplay.
'almost' means to remove the last letter (almost the whole word is kept).
'hibernian' becomes 'irish' (I've seen this before).
'irish' with its final letter taken away is 'IRIS'.
(Other definitions for iris that I've seen before include "Flower and eye membrane" , "In the middle of which pupil is opening" , "Garden flower - part of eye" , "Eye part or attractive flower" , "Eye part or pretty flower" .)