A clamping device includes a primary member, a clamping member configured for selectively clamping the primary member to a mounting member, and an engagement mechanism configured to engage an exterior surface proximate to the front side of the primary member. The engagement mechanism may include an abutment member for abutting the surface, an input member for user manipulation, and a linkage between the input member and the abutment member to effect axial movement of the abutment member by the input member. An actuator mechanism for locking and unlocking the clamping member may also be included. The clamping device may be in the form of a barbell clamp in one configuration, which is configured for mounting on a mounting member in the form of a barbell and engaging a weight plate that defines the exterior surface.