Device for mounting an elongated element with axial clamping, includes a body forming a support base whereon are fixed a stop part including a first support element for one end of the elongated element and a retaining part, the parts being axially separated, a removable support block comprising a through passage for receiving the elongated element and capable of being wedged between the retaining part and stop part, and a mobile part including a second support element for the other end of the elongated element, the mobile part is secured in articulation to two link rods mounted at their opposite ends, potentially rotatable, on two eccentrics mounted potentially rotatable on the body and rigidly assembled to a pivoting cover provided with a member or zone for gripping or maneuvering, the cover or lid substantially covering the assembly of the parts and the elements when it is folded down.