Sliver

google

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late Middle English: from dialect slive ‘cleave’.

wiktionary

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From Middle English slivere, sliver from Middle English sliven(“to cut, cleave, split”), from Old English slīfan (as in tōslīfan(“to split, split up”)).

etymonline

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sliver (n.)

"splinter of wood," late 14c., from obsolete verb sliven "to split, cleave," from Old English toslifan "to split, cleave" (see sleave).