If doing a typical DO finish (flood on, keep wet, wipe off), dust is not much of a concern. I have done many flatwork projects and hundreds of turned bowls with the method. Several are in my LJ's projects.
The dust gets pushed into negative grain or into the application cloth/towel. In fact I leave the dust from the last grit on the surface. When wiped into neg grain, it helps hilite the grain with a bit darker color. Part of that comes from the dye I mix into the finish. Microfiber towels are excellent tack cloths - hold them to the inlet of a hi speed dust collection point and let them flap around, releasing the dust picked up. With properly sanded surfaces I dont find that they snag, but a natural edge or voids purposely left open will snag.
If one insists on dust free with DO, lightly wiping with a tack cloth wont mess up the surface, but they have limited life - they can only hold so much. A microfiber towel has a very long life, and is better at sweeping out negative grain if you want all dust removed.
I use poly diluted1:1 vs DO. A coat or two applied as described will reduce fretting over dust on fresh surfaces, and create a well sealed surface for subsequent wipe on or brushed coats to build a film finish. Its also a great way to fill negative grain, wet sanding the 1st coat with some dye added.