A wellhead assembly with a gripping device for securing multiple components of the wellhead assembly is provided. In one embodiment, a system includes a wellhead housing mounted above a hollow body, such that an axial bore extends through the wellhead housing and the hollow body, and a wellhead hanger positioned within the axial bore. The system also includes a clamp that provides a first grip that secures the wellhead housing to the hollow body and a second grip that secures the wellhead hanger within the axial bore. The second grip includes elastic deformation, via the clamp, of at least one of the wellhead housing or the hollow body into tight engagement with an exterior of the wellhead hanger to secure the wellhead hanger at the location within the axial bore. Additional systems, devices, and methods are also disclosed.