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Supporter in changing rooms makes clubs curse with rage (4,6)

Ross

I believe the answer is:

coat hanger

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'supporter in changing rooms' is the definition.
The answer and definition can be both man-made objects as well as being singular nouns.
Perhaps they are linked in a way I don't understand?

'clubs curse with rage' is the wordplay.
'clubs' becomes 'c' (abbreviation in card games).
'curse' becomes 'oath' (synonyms).
'with' means one lot of letters go next to another.
'rage' becomes 'anger' (I've seen this in other clues).
'c'+'oath'+'anger'='COAT HANGER'

'makes' is the link.

Can you help me to learn more?

(Other definitions for coat hanger that I've seen before include "Curved piece of wood with a hook in a wardrobe" , "Hot carnage (anag.)" , "Wardrobe utensil" .)

I've seen this clue in The Independent.
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