Desperately target ice burn (9)
I believe the answer is:
cigarette
'burn' is the definition.
(cigarette burn is a kind of burn)
'desperately target ice' is the wordplay.
'desperately' indicates an anagram.
'target'+'ice'='targetice'
'targetice' is an anagram of 'CIGARETTE'.
(Other definitions for cigarette that I've seen before include "Fag, smoke" , "Cylinder of tobacco" , "Fag, coffin nail" , "Something smoked" , "tobacco in consumable form" .)