WordWeb Online

1. The action of an armed force that surrounds a fortified place and isolates it while continuing to attack
   - siege, besieging, military blockade

1. Annoy persistently
   "The children beleaguered the boy because of his stammer"
   - tease, badger, pester, bug
    
2. Encircle as a military tactic
   "The Turks beleaguered Vienna"
   - besiege, surround, hem in, circumvent

Type of: assail, attack, bedevil, blockade, crucify, dun, encirclement, frustrate, rag, torment