Abstract: A clamp in which the clamping band end portions are intended to form overlapping inner and outer band portions in the installed condition and are connected by a connection, in which a tightening device for tightening the clamping band about an object to be fastened and an arrangement assuring gap-free and stepless internal clamping surfaces of the clamping band including a male member near the end of the inner band portion are provided whereby the male member is adapted to cooperate with a female member in the outer band portion; a guide arrangement is further formed by a bent-up tab-like member on each side of the male member and adapted to engage in two guide slots of the outer band portion to guide relative movements of the inner and outer band portions during tightening of the tightening device; the connection may also include a lost-motion arrangement permitting initial plastic deformation of the tightening device substantially without change in radial dimension.