A cleaning implement is specifically designed to be held with one hand during cleaning operations. The implement has an upper control section and a lower cleaning section which are detachable from each other. The lower section is primarily a cleaning element in the form of a sponge member or similar compressible pad or component. A cleaning control arm and a moisture squeeze arm extend from the upper control section. When the implement is to be used in its cleaning mode, the control arm is held in one hand by the user to clean soiled surfaces. Moisture accumulating in the cleaning element is squeezed out simply by rotating the squeeze arm away from the control arm, such that the cleaning element is squeezed or compressed between base plates supporting each of the arms. For continued use in the cleaning mode, the squeeze arm is simply released and allowed to return to its position adjacent to the control arm.