Novel cleaning implements and novel components of cleaning implements are provided. Aspects relate to novel wringers having convex regions with a plurality of drain exits. In some embodiments, concave regions are also provided. The concave regions are substantially devoid of any drain exits. An upper portion of the wringer may be substantially cylindrical or conic-cylindrical and a lower portion may be neither cylindrical nor conic-cylindrical. The bottom perimeter of the bottom may define a square-like shape. Further aspects relate to novel connection assemblies. Certain assemblies may have a top portion with a vertical wall that is configured to position mop fibers along a vertical axis.