Cook not dining without a cold drink (3,3,5)
I believe the answer is:
gin and tonic
'drink' is the definition.
(gin and tonic is a kind of drink)
'cook not dining without a cold' is the wordplay.
I cannot quite understand how this works, but
an anagram of 'not' is 'ton' which is within the answer.
'a' could be 'an' and 'an' is located in the answer.
'cold' could be 'c' (eg on taps) and 'c' is found within the answer.
This explanation may well be incorrect...
Can you help me to learn more?
(Another definition for gin and tonic that I've seen is " Common cocktail".)