A shock absorber leash incorporates grasping, attaching and elongated strap assemblies. The latter incorporates a strap subassembly, having a strap of non elastic, continuous structure for connecting the grasping and attaching assemblies, and a resilient, adjustable in length subassembly including an elastic strip having its ends attached to a cam-buckle for adjusting a length of the elastic strip. The resilient, adjustable in length subassembly is interposed laterally between the ends of a segment of the strap. The segment is provided adjacent to its ends with a first and second rings and forms a loop when the resilient, adjustable in length subassembly is not completely stretched. The latter is detachable from a remaining of the shock absorber leash by means of the cam-buckle and a free passage of the elastic strip through the first and second rings.