A cable run arrangement for clean room applications, which is movable forming two strands and a deflecting bend. The cable run arrangement comprises: a flexible sleeve having a plurality of receiving channels, arranged alongside one another, for supply lines, and at least one support chain, which cooperates with the sleeve in order to support at least one associated receiving channel in a stretched position. According to the invention, the support chain forms a support surface, the width of which is greater than the corresponding dimension of the free cross section of the associated receiving channel. The invention also relates to a support chain per se, which forms a support surface, the width of which amounts to at least three times the distance of the support surface from the opposite side of the support chain.