Nothing in to drink with this dish! (4)
I believe the answer is:
soup
'this dish' is the definition.
(soup is a kind of dish)
'nothing in to drink' is the wordplay.
'nothing' becomes 'o' (looks like zero - 0).
'in' means one lot of letters goes inside another.
'to drink' becomes 'sup' (I've seen this before**).
'o' inserted inside 'sup' is 'SOUP'.
'with' is the link.
(Other definitions for soup that I've seen before include "Liquid dish" , "Eg, mulligatawny" , "Eg, minestrone" , "Preliminary course" , "See 19" .)