A dispenser container assembly for storing and dispensing a medical/dental device comprises a support section, including first and second opposed clamshell halves pivoted together at a flexible hinge. Each clamshell half has a contact edge mating with a like contact edge of an opposed half to form a contained space therein. Each contact edge also has a feature mating with a like feature of an opposed contact edge to produce a mounting aperture for supporting a medical/dental device within the contained space. A cap section has a closed end and an open end that engages the support section to maintain the first and second opposed clamshell halves in a closed condition and to enclose an exterior portion of the medical/dental device supported in the mounting aperture of the support section.