As everyone else above has said, Guilloche or the Rose Engine is a specific type of lathe for cutting designs into metal dials.
As a watch tech myself, here is what I plan on experimenting with when my Pro and Filter arrive:
Mother Of Pearl
wood of different types and thicknesses.
Now… for watch faces you can get special plates to add a THIN dial material onto it. The plate has the dial feet already arranged for a specific watch movement. I would also be careful of the thickness of the dial overall to give enough clearance for the hands to sweep correctly.
If you are going for a clock, there is a LOT more tolerance for thickness of materials, and clock movements range from “Hobby” to professional in quality and cost. It just depends on what you are looking for and what you are willing to spend.
I would be glad to help answer any questions on horology that I can.