Chest cold and tender (6)
I believe the answer is:
coffer
'chest' is the definition.
(coffer is a kind of chest)
'cold and tender' is the wordplay.
'cold' becomes 'c' (eg on taps).
'and' is a charade indicator (letters next to each other).
'tender' becomes 'offer' ('offer' can be a synonym of 'tender').
'c'+'offer'='COFFER'
(Other definitions for coffer that I've seen before include "Strongbox" , "Treasure chest" , "safe" , "A large strong box for valuables" , "Chest for storing valuables" .)