1) Belt along 2) Bolt 3) Bolt, back in the day 4) Bucket along 5) Cannonball along 6) Cooking spray in a yellow can 7) Dash off 8) Depart in haste 9) Encourage to hurry 10) Exclusively Saxon word 11) Exclusively Anglo word 12) Flee quickly 13) Gallop 14) Get a move on 15) Get a move on and how 16) Get a move on, quaintly 1) Hasten 2) Hot foot 3) Scoot 
• (v. i.) To hasten; to go in haste; -- also often with the reciprocal pronoun. • (n.) Haste; diligence.
Health Informatics Europe [periodical, périodique]
Hie intransitive verb [ imperfect & past participle Hied ; present participle & verbal noun Hying .] [ Middle English hien , hihen , highen , Anglo-Saxon higian to hasten, strive; confer Latin ciere t...Hie noun Haste; diligence. [ Obsolete] Chaucer. 
to hurry, to go quickly