Abstract: A cleaning wipes dispenser that enables consumers to consistently remove individual wipes without having the remaining wipes fall back into the dispenser and with minimum loss of liquid solution is disclosed. The dispenser includes: (i) a container having an interior for storing the cleaning wipes wherein the wipes comprise a web of material; and (ii) a dispensing port having a body that is attached to the container and that has an opening through which the web of material is threaded, wherein the opening defines at least two nodes that are in communication with each other by an open channel, wherein each node has at least two appendages projecting therefrom, wherein the open channel and appendages define a plurality of edges that frictionally engage the web during separation of a sheet of material from a remaining portion of web of material and wherein the opening is dimensioned so that following detachment of the sheet, a remaining fragment of web of material remains threaded through the opening.