Suspension device for suspending a cable of predetermined diameter from a support, comprising: - a body comprising a channel extending between a first end and a second end, configured to receive the cable, which is able to be driven vis-à-vis the channel towards the first end or towards the second end; and comprising a first runner and a second runner each comprising an oblique surface facing a bottom surface of the channel, the oblique surface (33, 34) of the first runner being inclined towards the bottom surface of the channel and towards the second end, the oblique surface (35, 36) of the second runner being inclined towards the bottom surface of the channel and towards the first end; - a first catch comprising a bearing surface for bearing on the cable placed between the bearing surface and the bottom surface of the channel and comprising, on a side opposite to the bearing surface, a sliding surface (42, 43) for sliding on the oblique surface (33, 34) of the first runner; - a second catch comprising a bearing surface for bearing on the cable placed between this bearing surface and the bottom surface of the channel and comprising, on a side opposite to its bearing surface, a sliding surface (45, 46) for sliding on the oblique surface (35, 36) of the second runner; - non-return members (37, 38, 59) between the body and the first catch, to enable the first catch to move towards the second end and to prevent the first catch from moving towards the first end; and - non-return members (39, 40, 60) between the body and the second catch, to enable the second catch to move towards the first end and to prevent the second catch from moving towards the second end; said device being characterised in that it further comprises a handle, a first end of which is connected to the first catch and a second end of which is connected to the second catch, said handle being flexible to enable its first end and its second end to move away from or towards each other. - a body comprising a channel extending between a first end and a second end, configured to receive the cable, which is able to be driven vis-à-vis the channel towards the first end or towards the second end; and comprising a first runner and a second runner each comprising an oblique surface facing a bottom surface of the channel, the oblique surface (33, 34) of the first runner being inclined towards the bottom surface of the channel and towards the second end, the oblique surface (35, 36) of the second runner being inclined towards the bottom surface of the channel and towards the first end; - a first catch comprising a bearing surface for bearing on the cable placed between the bearing surface and the bottom surface of the channel and comprising, on a side opposite to the bearing surface, a sliding surface (42, 43) for sliding on the oblique surface (33, 34) of the first runner; - a second catch comprising a bearing surface for bearing on the cable placed between this bearing surface and the bottom surface of the channel and comprising, on a side opposite to its bearing surface, a sliding surface (45, 46) for sliding on the oblique surface (35, 36) of the second runner; - non-return members (37, 38, 59) between the body and the first catch, to enable the first catch to move towards the second end and to prevent the first catch from moving towards the first end; and - non-return members (39, 40, 60) between the body and the second catch, to enable the second catch to move towards the first end and to prevent the second catch from moving towards the second end;