There are a few sets with glass chains by Sinclaire shown in Sinclaire and Spillman, The Complete Cut and Engraved Glass of Corning. You can hardly see the photos, but I've seen pictures of others, too. They're called (in the US) "centerpieces" and have a center vase and several smaller vases, like Leni's set.
The shape of this is pretty distinctive, and those feet intrigue me. Is the pattern a single matching design on every foot? I don't think I've ever seen such an elaborate foot design constructed in that way. What do you call a tool that leaves an impression like that?