To provide a chain element for a chain for attaching a tenter clip having the durability even if oil is not supplied in it, capable of facilitating maintenance, and eliminating a necessity of removing a running support means at the time of cleaning work.

This chain element for a chain runs along a rail 7 of monorail type and is provided with a running support means for the rail 7, the running support means includes rotary elements 2 to 6 which nip at least an upper part and a lower part of the rail, come into contact with them, and rotate, and the rotary elements 2 to 6 consist of radial ball bearings using balls made of all aromatic polyimide.