Abstract: A gripper (100) with radial clamping, provided for a timepiece component, including a plurality of jaws (1) distributed about an axis (D), which defines a direction of insertion and/or of extraction for the timepiece component, and connected to a support (2) of the gripper, each jaw including a bearing surface (10) arranged to ensure a radial contact, relative to the axis, with a counter surface of the component and to be able to apply on this counter surface a radial clamping force, at least one the jaw being radially movable, in relation to the axis, and having an essentially radial travel in relation to the axis (D). Each mobile jaw is connected to the support by a radial elastic return means (3) that extends in a general plane (P) perpendicular to the axis and that is preferably arranged between the mobile jaw and the axis (D).