Methods of processing a glass ribbon are provided. The method comprises the step of traversing the glass ribbon through a travel path at a predetermined velocity and severing the glass ribbon to create an upstream web and a downstream web. The method further includes the step of increasing a relative velocity of a downstream edge portion with respect to an upstream edge portion to create a gap between an upstream severed edge and a downstream severed edge. In other example methods, a segment of the glass ribbon is removed to create a gap between an upstream severed edge and a downstream severed edge. In still further example methods, an upstream severed edge is directed along a second travel path to create a gap between the upstream severed edge and a downstream severed edge.