smid·gen also smid·geon or smid·gin (smĭj'ən) n. A very small quantity or portion; a bit or mite: "a smidgen of genius, a sliver of cutting truth"(John Simon).
[Probably alteration of dialectal smitch, particle, perhaps ultimately from Middle English smite, perhaps from past participle of smiten, to smite; see smite.]
n. a tiny bit. : Oh, come on, more than a smidgen. Just a little?
Dictionary of American Slang and Colloquial Expressions by Richard A. Spears.Fourth Edition. Copyright 2007. Published by McGraw Hill.
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1845, perhaps from Scot. smitch "very small amount, small insignificant person" (1822), perhaps from smidin "small syllable." Short form smidge is attested from 1905, Amer.Eng. dial.