To fasten with a cinch . Hence, to have a man in a tight place.
1875. A man who is hurt in a mining transaction is cinched. [San Francisco localism.]S. Williams, The City of the Golden Gate, Scribners Mag., x. p. 277 (July). (N.E.D.)
1878. Saddles are carefully set, and mules cinched with these mountain girths, eight inches wide, until it seems they can scarcely breathe; for we are to have perils of water and mountainperils by the way.J. H. Beadle, Western Wilds, p. 156.
1878. With all set, and everything tightly cinched, we took the start with guide in front.Id., p. 152.