sliver

Short definition from Wiktionary

Noun

1. 1
   A long piece cut or rent off; a sharp, slender fragment.
2. 2
   A long piece cut or rent off; a sharp, slender fragment: Specifically, a splinter caught under the skin.
3. 3
   A strand, or slender roll, of cotton or other fiber in a loose, untwisted state, produced by a carding machine and ready for the roving or slubbing which precedes spinning.
4. 4
   Bait made of pieces of small fish.
5. 5
   A narrow high-rise apartment building.
6. 6
   A small amount of something; a drop in the bucket; a shred.

Verb

1. 1
   To cut or divide into long, thin pieces, or into very small pieces; to cut or rend lengthwise; to slit.