A device, such as a snubber or shock absorber, for mitigating shock and vibration in downhole tools is provided. The device can have a body and an insert, which are separated by an elastomer to inhibit direct metal-to-metal contact therebetween. The insert has a projecting portion located within a cavity of the body. The elastomer is disposed within a gap between the insert and the internal surface walls of the cavity, and the elastomer surrounds and contacts the projecting portion and the walls. The elastomer may be molded, for example by flowing it into the cavity and subsequent hardening. Injection holes may be provided for molding. The projecting portion may be shaped to limit rotation upon failure of the elastomer and/or may include ribs and splines for shock absorption. The body may include a cap that contains the projecting portion to inhibit pull-apart.