A multisurface cleaning tool having a tapering head and a hollow handle contiguous with the head that constitutes a reservoir capable of holding flowable material. A pump actuated dispenser is in communication with the reservoir and permits user actuated expression of flowable material from within the reservoir. A cover is applied to and covers at least a portion of the head. In one embodiment, the cover is a microfiber pouch with an elasticized perimeter, which permits the pouch to be fitted over the cleaning tool head. In another embodiment, a portion of the cover is an integrally formed abrasive surface.