The base of this bandaging system is attached to the skin around a wound by adhesive and supports the edges of the lid, which covers the wound and can easily be removed and replaced or re-used many times to facilitate examining or treating the wound while the base remains in place. The bandaging system has multiple embodiments to accommodate various situations. An embodiment with generally planar components is very simple but may cause vertical pressure on the skin near the wound when the lid is removed or attached. Such pressure is avoided by alternative embodiments in which the components have non-planar parts. Some embodiments have a hinge on an edge of the lid which allows the wound to be uncovered without detaching the lid. The components which latch lids to bases contribute to making the systems easy, quick, convenient, and comfortable to use.