Stretching system, in particular a transverse stretching system or a sequential stretching system comprising a longitudinal stretching stage and a transverse stretching stage, having the following features: - comprising two circulating guide tracks arranged having a lateral offset transversely with respect to a take-off direction of a film to be stretched, - along the two guide tracks there is a circulating conveyor system having a plurality of clip conveyor units, by means of which a film to be stretched can be gripped at its sides and moved through the transverse stretching system or transverse stretching stage from an infeed zone to a discharge zone, - at least one clamping device is provided on the clip conveyor units, by means of which device a film edge of a film to be stretched can be clamped in place, - the circulating guide track comprises a guide rail arrangement along which the clip conveyor units can be moved in a supported manner by means of casters (27, 31, 29) and/or sliding elements, characterised by the following additional features: - the clip conveyor units comprise guide clips and control clips, both the guide clips and the control clips being provided with at least one clamping device, - either at least two guide clips that follow one another in the circulating direction of the conveyor system are interconnected by arranging a control clip therebetween, or at least two successive control clips are interconnected by arranging a guide clip therebetween, such that the guide clip is hinged to the adjacent control clip by means of a connection member, - over at least one first section, the guide rail arrangement comprises a guide rail having at least one associated guide rail surface (15a, 15b, 15c, 15d), - over at least one second section, the guide rail arrangement comprises, in addition to the guide rail, a control rail and/or a control rail surface (115a, 115b) that is arranged at a spacing from the guide rail or the at least one guide rail surface (15a, 15b, 15c, 15d), - the guide clips can be moved along the at least one first section and the at least one second section (T1, T2) of the guide rail, for which purpose the guide clips are meshed with the guide rail or the at least one guide rail surface (15a, 15b, 15c, 15d), - the control clips can be moved along the guide rail over the at least one first section and are meshed with the associated control rail or the associated control rail surface (115a, 115b) in the region of the at least one second section such that the control clips and their associated clamping devices are moved at a lateral offset from both the guide rail and the guide clips, such that, in the region of the at least one second section, the connection members hinging together the guide clips and the control clips are pivoted, in the process reducing the distance between a guide clip and an adjacent control clip and thus reducing the distance between two successive guide clips. - comprising two circulating guide tracks arranged having a lateral offset transversely with respect to a take-off direction of a film to be stretched, - along the two guide tracks there is a circulating conveyor system having a plurality of clip conveyor units, by means of which a film to be stretched can be gripped at its sides and moved through the transverse stretching system or transverse stretching stage from an infeed zone to a discharge zone, - at least one clamping device is provided on the clip conveyor units, by means of which device a film edge of a film to be stretched can be clamped in place, - the circulating guide track comprises a guide rail arrangement along which the clip conveyor units can be moved in a supported manner by means of casters (27, 31, 29) and/or sliding elements, - the clip conveyor units comprise guide clips and control clips, both the guide clips and the control clips being provided with at least one clamping device, - either at least two guide clips that follow one another in the circulating direction of the conveyor system are interconnected by arranging a control clip therebetween, or at least two successive control clips are interconnected by arranging a guide clip therebetween, such that the guide clip is hinged to the adjacent control clip by means of a connection member, - over at least one first section, the guide rail arrangement comprises a guide rail having at least one associated guide rail surface (15a, 15b, 15c, 15d), - over at least one second section, the guide rail arrangement comprises, in addition to the guide rail, a control rail and/or a control rail surface (115a, 115b) that is arranged at a spacing from the guide rail or the at least one guide rail surface (15a, 15b, 15c, 15d), - the guide clips can be moved along the at least one first section and the at least one second section (T1, T2) of the guide rail, for which purpose the guide clips are meshed with the guide rail or the at least one guide rail surface (15a, 15b, 15c, 15d), - the control clips can be moved along the guide rail over the at least one first section and are meshed with the associated control rail or the associated control rail surface (115a, 115b) in the region of the at least one second section such that the control clips and their associated clamping devices are moved at a lateral offset from both the guide rail and the guide clips, such that, in the region of the at least one second section, the connection members hinging together the guide clips and the control clips are pivoted, in the process reducing the distance between a guide clip and an adjacent control clip and thus reducing the distance between two successive guide clips.