monastic vs cloistered

monastic is a noun but cloistered is not a noun.

Word	Noun	Adjective	Verb	Adverb
monastic	Yes	Yes	No	No
cloistered	No	Yes	No	No

As adjectives, monastic and cloistered are synonyms defined as:

monastic and cloistered: of communal life sequestered from the world under religious vows

Other synonyms of monastic include cloistral, conventual, monastical.

monastic (noun)	cloistered (noun)
a male religious living in a cloister and devoting himself to contemplation and prayer and work

monastic (adjective)	cloistered (adjective)
of communal life sequestered from the world under religious vows	providing privacy or seclusion
	of communal life sequestered from the world under religious vows