No consolation, promise of luxury at ice hotel? (4,7)
I believe the answer is:
cold comfort
'no consolation' is the definition.
'cold comfort' can be an answer for 'consolation' (I have seen 'Poor consolation' mean 'cold comfort' so perhaps 'consolation' could also mean 'cold comfort'). I am not sure about the 'no' bit.
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for cold comfort that I've seen before include "Poor compensation" , "What's offered by an ice pack after injury" , "Poor consolation" , "farm's out of work" , "Stella Gibbons' rural parody" .)