Reclusive initially, celebrity strolled around society (10)

I believe the answer is:

cloistered

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'reclusive' is the definition.
(synonyms)

'initially celebrity strolled around society' is the wordplay.
'initially' indicates taking the first letters.
'strolled' becomes 'loitered' (I can't explain this - if you can you should give a lot more credence to this answer).
'around' is an insertion indicator.
'society' becomes 's' (common abbreviation in names of organisations).
The first letter of 'celebrity' is 'c'.
'loitered' enclosing 's' is 'loistered'.
'c'+'loistered'='CLOISTERED'

Can you help me to learn more?

(Other definitions for cloistered that I've seen before include "Being cut off from the world" , "Sheltered from outside society" , "with covered arcades" .)

I've seen this clue in The Hindu.

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