Bar diner regularly ignored French grub (4)
I believe the answer is:
brie
'french grub' is the definition.
(I know that Brie is a cheese)
'bar diner regularly ignored' is the wordplay.
'regularly ignored' means one should take alternating letters (letters removed at regular intervals).
'bar'+'diner'='bardiner'
The alternating letters of 'bardiner' are 'BRIE'.
(Other definitions for brie that I've seen before include "French 8 across" , "Variety of cheese" , "Food" , "cheesy stuff" , "cheese-producing region" .)