Hasten rhymes with:
basin, caisson, capsaicin, cayson, chaisson, chasen, chasten, clasen, freemason, grayson, gustaveson, jason, klasen, leysen, mason, salveson, spleisson
Hasten sounds like:
hasidim, haston, haughton, haxton, heaston, hechtman, heighten, hesitation, hesston, heston, higdon, histamine, histidine, hochstein, hogston, houghton, housden, houston, houstonian, hueston, hughston, hugoton, huston