From memory, after a quiet retreat (6)

I believe the answer is:

ashram

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'retreat' is the definition.
(type of religious retreat)

'from memory after a quiet' is the wordplay.
'from memory' becomes 'ram' (I can't justify this - if you can you should give a lot more credence to this answer).
'after' says to put letters next to each other.
'quiet' becomes 'sh'.
'a'+'sh'='ash'
'ram' put after 'ash' is 'ASHRAM'.

Can you help me to learn more?

(Other definitions for ashram that I've seen before include "Commune" , "Hindu place of religious learning located in a marsh" , "Hindu hermitage" , "Place of religious retreat for Hindus" , "Indian hermitage" .)

I've seen this clue in The Times.

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