WordWeb Online

1. (military) 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, siege

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