Except mine doesn't, because the supplied clamp isn't wide enough to fit over the edge of my worktop. (Clamping it to a chopping board works, but then requires someone else to hold the chopping board steady -- less useful.)
The clamp itself is not unlike a G-clamp, but its top end is a circular bar rather than being flattened -- about 3/8" wide, maybe? -- which fits into a hole in the side of the pasta-maker.
Is there a special name for this, and does anyone have any good ideas as to where I might find one with a wider gap? Google might be my friend if I knew what they were called...