Society formerly involved in making togas? (5)

I believe the answer is:

sogat

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'society formerly involved' is the definition.
I don't know anything about this answer so I cannot tell whether it can be defined by this definition.

'making togas?' is the wordplay.
'making' is an anagram indicator.
'togas' with letters rearranged gives 'SOGAT'.

'in' is the link.

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I've seen this clue in the Evening Standard.

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