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The Collaborative International Dictionary
Cheese cloth

cheesecloth \cheese"cloth`\, Cheese cloth \Cheese" cloth`\(ch[=e]z" kl[o^]th`; 115). A thin, loosely-woven cotton cloth of a gauze texture, such as is used in pressing cheese curds.

Douglas Harper's Etymology Dictionary
cheese cloth

1650s, originally cloth in which curds were pressed, from cheese (n.1) + cloth.