Crossword Genius

All the rage, perfectly cool, causing offence (9)

Ross

I believe the answer is:

injustice

I'm a little stuck... Click here to teach me more about this clue!

'offence' is the definition.
The definition and answer can be both acts as well as being singular nouns.
Perhaps there's an association between them I don't understand?

'all the rage perfectly cool' is the wordplay.
'all the rage' becomes 'in' (both can mean trendy).
'perfectly' becomes 'just' (as in 'just so').
'cool' becomes 'ice' (icing is a kind of cooling).
'in'+'just'+'ice'='INJUSTICE'

'causing' is the link.

Can you help me to learn more?

(Other definitions for injustice that I've seen before include "wrong" , "Unfairness" , "It's unfair" , "Lack of fairness" .)

I've seen this clue in The Times.
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