A shive is a small piece of wood, especially one that has split off a larger piece.
A shive is just a simple piece of wood, nothing special.
Examples:
I found a shive on the ground.
The shive came off the old chair.
She used a shive to start the fire.
The cat is playing with a shive.
I saw a huge shive in the forest.
He used a shive to fix the broken table.