1) Assail 2) Attack 3) Attack from all sides 4) Beleaguer 5) Circumvent 6) Crowd around 7) Crowd in upon 8) Emulate Grant at Vicksburg 9) Harry 10) Hem in 11) Hound 12) Linux game 13) Overwhelm 14) Surround 15) Surround and attack 16) Surround with troops 17) Swarm 18) To crowd around 19) To lay siege to Found on https://www.crosswordclues.com/clue/besiege
Be·siege' transitive verb [ imperfect & past participle Besieged ; present participle & verbal noun Besieging .] [ Middle English bisegen ; prefix be- + segen to siege. See Siege .] To beset or surround with... Found on http://www.encyclo.co.uk/webster/B/41
to lay siege to. · to crowd around; crowd in upon; surround: Vacationers besieged the travel office. · to assail or ply, as with requests or demands. Found on https://www.infoplease.com/dictionary/besiege