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Cherishable (adjective)
Capable of, or suitable for, being cherished.
 
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Cherish (verb)
To treat with care, and tenderness; to nurture or protect with care.
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Cherish (verb)
To have a deep appreciation of; to hold dear.
“despise”
“I cherish your friendship.”
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Cherish (verb)
To cheer, to gladden.
 
Wiktionary