Once you've accumulated your stuff you'll be able to determine how big your dial needs to be. Dads clocks are all round thus far (maybe not after he reads this) but I don't see any reason they couldn't be square, rectangular, or any other polyhedron. For a circle, use a large compass if you happen to have one. Make one using a couple of pencils and a string OR find a bucket or something else to trace onto your plywood. For an arbitrary polyhedron, divide 360 by the number of sides and use a protractor and ruler to mark from the center and draw your sides. If you cant figure out how to cut a square or rectangle this whole thing is probably over your head anyway.
Cut your wood with a jigsaw, bandsaw, or coping saw. Since your wood is already weathered you need not bother with sanding unless your cutting job is very messy.
Drill a hole in the center large enough to fit the pinion from your mechanism. The pinion is the part that goes through the dial and accepts the hands.