Heavy gauge, small to medium, open jumprings (18 gauge or thicker) are perfect for protecting your bracelets from coming apart. If your bracelet is caught on a doorknob or other object, the jumpring will release before the bracelet breaks, which will save you from having to re-string the entire bracelet. It will also save on bead loss from the break.
You can even use decorative jumprings to improve the appearance of your bracelet. Heavy gauge open jumprings are great for lanyards, too!