Wire-wrapping is a method of wiring through-hole components together on a board. It is usually used only for prototyping.
A manual wire-wrap tool is cylindrical with one large on-axis hole (for the pin to be connected) and an off-axis hole (for the wire - usually 30 gauge). Rotating this tool leaves a tightly-wound helix of wire on the pin. There are also powered tools with motors that work the same way.
Wirewrap is one of several circuit construction techniques.