Google and the thesaurus aren't helping, unfortunately.
2 Answers
I believe that the term comes from the Japanese 'sukoshi' which means a little, or a small amount. As a carpenter in Canada, we used the term a lot and after I moved to Japan and became familiar with the language, it occurred to me one day, that I already knew that particular word.
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1+1. I grew up hearing this in rural Indiana. Many years later I began studying Japanese. Years after that it occurred to me, "You know, skosh sounds an awful lot like sukoshi! What a funny coincidence!" Then, a few months ago, the realization hit me...– ArkaaitoCommented Aug 17, 2015 at 8:42
I am not sure of the origin, but if you google "skosh" you'll find plenty of stuff. It's one of those words I often describe as "cute farmer talk."