Soak eating cold northern dish (6)
I believe the answer is:
scouse
'northern dish' is the definition.
(also lobscouse, a northern English stew)
'soak eating cold' is the wordplay.
'soak' becomes 'souse' ('souse' can be a synonym of 'soak'**).
'eating' indicates putting letters inside.
'cold' becomes 'c' (eg on taps).
'souse' going around 'c' is 'SCOUSE'.
(Other definitions for scouse that I've seen before include "northerner" , "Slang for native of Liverpool" , "(Someone) from Liverpool" , "Liverpool accent" , "Liverpudlian accent" .)