Abstract: A clamp for an elongated cylindrical workpiece such as a hose or pipe, comprises two, substantially identical, clamp members each having a semi-cylindrical recess formed therein. A cylindrical elastic insert is fitted around the workpiece and then inserted into the circular recess formed when the two clamp members are fastened one to the other. In the axial direction, the elastic insert has an elevated central region which engages a similar, depressed central region in the cylindrical recess formed by two clamp members. The height of the depressed region is less than the height of the elevated region; thus, while the workpiece is totally restrained from axial motion, in the region where the workpiece enters or exits the clamp, a limited amount of bending is permitted, thus avoiding stress and possible damage to the workpiece.