Meat in cold paper to dispatch all around (5,3)
I believe the answer is:
scrag end
'meat' is the definition.
(scrag end is a kind of meat)
'cold paper to dispatch all around' is the wordplay.
'cold' becomes 'C' (eg on taps).
'paper' becomes 'rag' (rag can mean a newspaper).
'to dispatch' becomes 'send' (I've seen this before).
'all around' indicates putting letters inside.
'c'+'rag'='crag'
'crag' placed within 'send' is 'SCRAG-END'.
'in' is the link.
(Other definitions for scrag end that I've seen before include "Meat" , "cut of lamb" , "Cut inferior" , "Bony part of neck of veal or mutton" , "cheap cut" .)