An electric blanket when you want central heating? (4,7)

I believe the answer is:
cold comfort
'heating?' is the definition.
Both the answer and definition are singular nouns.
Perhaps there's an association between them I don't understand?
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for cold comfort that I've seen before include "minimal (if any) soothing" , "farm's out of work" , "Inadequate consolation (on a farm?)" , "a lozenge?" , "Poor compensation" .)
