Abstract: A clamp constituted by a band of metal wound over itself and comprising at one of its end, called outer end, and close to the other end, called inner end, complementary fastening means, the metal band being extended, beyond the fastening means situated at the inner end, by a part which, in the unfastened position of the clamp, spreads between the two fastening means, clamp wherein the inner end of the band ends into a bent-up part, generally shaped as an outwardly directed T, whereas the outer end is provided, at the back of its fastening means, with a longitudinal slot of which the width is at least equal to that of the vertical bar of the T.