Flexible guide bushing for machine tool

A guide bushing for a machine tool, comprising

• at least two segments, each segment having a main section, two frustoconical, opposite end portions and two opposite sides;
• an elastic connection connecting each side of each segment to the side of a neighboring segment to form a body of revolution having an envelope axis and having a central opening that allows passage of a bar that is to be machined, each of the elastic connections extending axially along the axis in a seat of the guide bushing for the elastic connection;
• each of the elastic connections comprises a tongue having a visible surface and comprises an intermediate portion having opposite end portions that are chamfered;
• the intermediate portions of the elastic connections correspond in axial locations to the main section of the segments connected by the elastic connections;
• the tongue of the elastic connections including a visible surface that is slightly set back with respect to edges of a cutout provided in each of the segments;
• the seat of the guide bushing being comprised from a facing arrangement of cutouts of two neighboring ones of the segments, so that in a closed condition of the bushing, the elastic connection in the cutout is at least approximately and partly flush, with the envelope of the bushing without projecting from the envelope.