Looks like garnet to me, a semiprecious stone. My stepmother had lots. It was popular in the 1930's and 1940's.

http://www.palmbeachjewelry.com/jump...roductID=11447

http://www.kalenedesigns.com/Handwov...-p/brc-405.htm

http://www.exoticindiaart.com/jewelry/garnet/Bracelets/

Closest I can come to "style" is a "cuff" bracelet.

http://www.camiasdesigns.com/images/.../b122front.jpg