Cleaning tool with removable cleaning sheets

A cleaning tool for cleaning a surface, said tool comprising:

• a core having a lower surface and an upper surface, each surface having a side-to-side width and a back-to-front length associated therewith;
• a web of cleaning material wrapped about said core so as to form a roll defining a first plurality of cleaning sheets each removably supported on said lower surface in a stacked configuration, each of said sheets having an outward face for cleaning and an opposed inward face, each of said sheets having a side-to-side width and a front-to-back length associated therewith, said outward face of each of said sheets configured for contacting and cleaning the surface and thereby becoming soiled, whereby when said outward face of the outermost sheet becomes soiled said sheet may be peeled away to expose a non-soiled sheet, said roll of cleaning material further defining a second plurality of cleaning sheets supported on said upper surface of said core, said web of cleaning material comprising a bibulous layer and a moisture barrier layer operative to prevent transport of liquid from said bibulous layer of one sheet to said bibulous layer of an adjacent sheet.