That entered after coming out (7)

I believe the answer is:

society

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'out' is the definition.
Although both the answer and definition are singular nouns, I can't understand how one could define the other.

I don't understand the rest of the clue.

Can you help me to learn more?

(Other definitions for society that I've seen before include "Culture - association" , "Fellowship; company" , "Fellowship, companionship" , "See 4" , "Organisation, club" .)

I've seen this clue in The Sunday Times and The Times.

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