A torsionally elastic clutch is provided including a primary part and a secondary part connected to transfer torque, and including an elastic connecting member having a first attachment surface placed externally in the radial direction of the clutch, and a second attachment surface placed internally in the radial direction of the clutch, connected to transfer torque with the primary part and the other with the secondary part, the two attachment surfaces are displaced relative to each other in the axial direction of the clutch, and further including a tensioning device, which maintains the relative displacement of the two attachment surfaces. An axial bearing is provided between the primary part and the secondary part, which permits a relative twisting in the circumferential direction of the clutch between the primary part and the secondary part, and additionally the tensioning device applies a compressive stress to the axial bearing.