In a manner relating to or characteristic of a cloister; in the way or direction of cloistered practice or life.
Cloister plus the suffix -wise meaning 'in the manner of' or 'with regard to.' The -wise suffix comes from Old English and creates adverbs describing method or direction (likewise, otherwise, clockwise).
The -wise suffix is underrated: we use 'clockwise' all the time, but 'cloisterwise' is so rare that its meaning isn't immediately obvious to modern ears, even though the construction is perfectly logical in English.
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