Line-guiding device links connect to form a loop consisting of an upper strand, a deflection region, and a lower strand. Adjacent links pivot about a pivot axis. The pivot axes are located closer to an inner side than to an outer side at least in some of the links. Each link has two side flaps opposite one another. Side flaps of adjacent links form at least one running surface on the inner side. At least some links have a roller projecting from the running surface. The upper strand and the lower strand can move via the rollers. The running surface is interrupted at least at some of the transitions between links such that part of the running surface formed by a first link has a recess and part of the running surface formed by a second link has a pin which engages in the recess, forming a gap.