1736 Canting Dictionary / R / RUM-Clout [thing]
a Silk, fine Cambrick, or Holland Handkerchief.
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Entry taken from 1736 Canting Dictionary, by Nathan Bailey.
Rum Clout in the 1811 Vulgar Tongue
Also see examples in Canting Songs and Slang Rhymes collected by John S. Farmer (1896).