Irritable, hate new inflammation (7,4)

I believe the answer is:

prickly heat

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'inflammation' is the definition.
The answer and definition can be both states of affairs as well as being singular nouns.
Maybe they are linked in a way I don't understand?

'irritable hate new' is the wordplay.
'irritable' becomes 'prickly' (I've seen this in another clue).
'new' indicates an anagram.
'hate' with letters rearranged gives 'heat'.
'prickly'+'heat'='PRICKLY-HEAT'

Can you help me to learn more?

(Another definition for prickly heat that I've seen is " Inflammation of the sweat glands".)

I've seen this clue in The Daily Express.

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