Cold, maybe; but there’s some warmth (3)
I believe the answer is:
war
'cold maybe' is the definition.
(a cold war is a type of war)
I don't understand how the rest of the clue works.
(Other definitions for war that I've seen before include "Fight" , "Large-scale conflict" , "Strife" , "Hostile situation" , "State of armed conflict" .)