A system for attaching, positioning and repositioning accessories and/or devices to vertical or horizontal surfaces such that the attached accessories or devices can be positioned and repositioned as desired. The system is comprised of a system base which interlocks with accessory mounts, which in turn engage and secure the fittings of accessories or devices. The system allows the accessories or devices retained in the mounts to be fixed along the base at a desired location and released and moved to another position along the base as desired. Further the system allows the accessories to be removed from the mounts and replaced as needed.