Druse - Making More Plants.

Callicarpa (beauty berry)
Clean seed of pulp, surface sow or sow barely covered as some light may be beneficial to germination. Sow indoors @70F for germination in 7-14 days, or sow outside in Fall for Spring germination, or sow outdoors in Spring (this is not a seed that will lose viability by storing dry).

Semi-ripewood and hardwood cuttings are both reasonable possibilities but there doesn't sound to be anything difficult about the seed.