1. To pester, bother, or harass, often excessively. In this usage, a person or group can be indicated between "beset" and "with." I'll make sure the kids don't beset the babysitter with lots of demands today. The senator's office has been beset with angry calls from constituents.

2. To embellish with something, typically jewels. My grandmother's antique bracelet was beset with rubies.