Is out of food, hot and cold (5)
I believe the answer is:
chill
'cold' is the definition.
(I know that cold can be written as chill)
'is out of food hot' is the wordplay.
'is out' is an insertion indicator.
'of food' becomes 'cill' (I can't justify this - if you can you should give a lot more credence to this answer).
'hot' becomes 'h' (abbreviation eg on taps).
'cill' enclosing 'h' is 'CHILL'.
'and' is the link.
Can you help me to learn more?
(Other definitions for chill that I've seen before include "Slight cold" , "Sensation of cold or dread" , "nip" , "Make cold; relax" , "A feeling of coldness" .)