A cleaning sheet with a tacky surface coating is used to clean feed rollers in copying machines or similar equipment and similarly-coated cloths are used for the removal of particles from other surfaces to be cleaned. The cleaning articles are made by printing the tacky material on sheet material such as paper or cloth. Relatively thick layers of tacky material are applied quickly and economically by the use of a multi-stage printing press which builds up a thick layer from a plurality of thin layers.