Irritating framework (7)
I believe the answer is:
grating
I believe this clue is a double definition.
'irritating' is the first definition.
(grating is a kind of irritating)
'framework' is the second definition.
(grating is a kind of framework)
(Other definitions for grating that I've seen before include "Screen of bars across opening" , "Harsh - framework of crossed bars" , "Unpleasantly harsh in sound" , "Ring tag (anag.)" , "Irritating - framework of bars" .)