Devices, tools, systems, kits and methods for closing a tissue opening non-invasively are presented. The devices include a tissue closure device that reliably induces eversion of tissue edges that define a tissue opening. The devices may be used in combination with an applicator tool to provide easy and uniform apposition of the tissue closure devices across the tissue opening. Further embodiments provide for releasable locking of the tissue closure devices, allowing for drainage of wound edema and/or treatment of infection, without removal and reapplication of the devices. Still further embodiments allow for the passing of moisture or other substances that may collect under a tissue closure device.