Get naked on philosopher in steelworks? (5,4)

I believe the answer is:

strip mill

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'steelworks?' is the definition.
Both the definition and answer are singular nouns.
Maybe there's a link between them I don't understand?

'get naked on philosopher' is the wordplay.
'get naked' becomes 'strip' (strip off clothing).
'on' says to put letters next to each other (in a down clue, letters appear on others).
'philosopher' becomes 'mill' (John Stuart Mill).
'strip'+'mill'='STRIP MILL'

'in' acts as a link.

Can you help me to learn more?

I've seen this clue in The Independent.

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