A mounting device for computer peripheral equipment. Preferably included are two spring arms, friction boots mounted on the ends of the spring arms, a non-skid pad and a rotating platform. The rotating platform ensures that the non-skid pad can be positioned between a first position, where the pad and friction boots cooperate to grip computer display bezels over a first range of bezel thicknesses and a second position, where the pad and friction boots cooperated to grip computer display bezels over a second range of bezel thicknesses. Also, the pad and friction boots are preferably dimensioned so as to render the entire mounting device self-standing when desired.