This invention relates to a device (1) for securing an element (2) to a pipe (4), the device (1) comprising: a compensating member (10) made of an elastic material, extensible when the device (1) is tensioned around the pipe (4) with a strap (6), and progressively shrinkable over time to keep the device (1) and the strap (6) in tension when the pipe (4) shrinks; two clamping buckles (20, 30) each designed to receive a free end (62, 63) of the strap (6); and two strands (40, 50) made of a material less elastic than the compensating member (10), and each extending between a first end (41, 51) integral with the compensating member (10) and a second end (42, 52) integral with one of the clamping buckles (20, 30). The invention also relates to a system (1, 6) comprising such a device (1) and a strap (6); an installation (1, 2, 3, 4, 6) comprising such a system (1, 6); and a method for operating such a system (1).