This term is found in The Inimitable Jeeves, first published by P. G. Wodehouse in 1923. I found an explanation of it on the blog "The Annotated Wodehouse."
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The Waukeezi Shoe Company Limited of Northampton sold shoes and boots during the first half of the 20th century. Readers unaccustomed to mentally pronouncing ‘walk’ in British fashion may not immediately realize the brand name is a play on ‘walk easy.’ Or at least, I didn’t. This may be both the only time Wodehouse spelled the brand name Waukeezi with a Y, and the only time he felt it necessary to add the classifying noun ‘shoe.’ He more usually preferred to use the brand name as a metonym for foot (or feet): ‘Put the old Waukeesi down with a bang’ as Wodehouse wrote in the Bertie Wooster story ‘Jeeves and the Chump Cyril’ or, more commonly, ‘pick up the old waukeesies,’ (meaning ‘let's go; hurry up’). So far as I have been able to determine, Wodehouse always spelled the brand name with an S, never a Z (as used by the actual brand).