You'd hope fast gets broken with this variable dish (4,2,3,3)
I believe the answer is:
soup of the day
'this variable dish' is the definition.
'you'd hope fast gets broken' is the wordplay.
'gets broken' indicates an anagram.
'youd'+'hope'+'fast'='youdhopefast'
'youdhopefast' with letters rearranged gives 'SOUP OF THE DAY'.
'with' is the link.
(Other definitions for soup of the day that I've seen before include "Restaurant starter" , "Potage du jour" .)