Three objects pop into my mind:
awl (tool used for punching small holes in wood), adz (axlike tool with a curved blade at right angles to the handle used for shaping wood), and axe (for cutting wood)
I guess it's adz you're searching for. I think you meant 'shaping' instead of 'shaving'.
adz
chisel
An "Adz" (sometimes spelled "adze").
Axe is a wood cutting tool. It begins with the letter A.
The adze is a wood shaping tool. The axe is a tool to cut wood. Carpenters Awl
It is a plane
An adze
Knife
ebony
Axe, Awl, Adz
An awl is a wood working tool.
a piece of wood is called log
Wood Duck