The Collaborative International Dictionary of English v.0.48:

Gyrate \Gy"rate\ (j[imac]"r[asl]t), a. [L. gyratus made in a
   circular form, p. p. of gyrare.]
   Winding or coiled round; curved into a circle; taking a
   circular course.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Gyrate \Gy"rate\ (j[imac]"r[=a]t), v. i. [imp. & p. p. Gyrated
   (j[imac]"r[asl]*t[e^]d); p. pr. & vb. n. Gyrating.] [L.
   gyratus, p. p. of gyrare to gyrate. See Gyre, n.]
   To revolve round a central point; to move spirally about an
   axis, as a tornado; to revolve.
   [1913 Webster]

WordNet (r) 3.0 (2006):

gyrate
    v 1: to wind or move in a spiral course; "the muscles and nerves
         of his fine drawn body were coiling for action"; "black
         smoke coiling up into the sky"; "the young people gyrated
         on the dance floor" [syn: gyrate, spiral, coil]
    2: revolve quickly and repeatedly around one's own axis; "The
       dervishes whirl around and around without getting dizzy"
       [syn: spin, spin around, whirl, reel, gyrate]

Moby Thesaurus II by Grady Ward, 1.0:

63 Moby Thesaurus words for "gyrate":
   advance, ascend, back, back up, budge, change, change place,
   circle, circulate, circumrotate, circumvolute, climb, crank,
   descend, ebb, flow, get over, go, go around, go round, go sideways,
   gyre, mount, move, move over, pirouette, pivot, plunge, progress,
   purl, regress, retrogress, revolve, rise, roll, rotate, round, run,
   screw, shift, sink, soar, spin, stir, stream, subside, swing,
   swirl, swivel, travel, turn, turn a pirouette, turn about,
   turn around, turn round, twirl, twist, wamble, wane, wheel, whirl,
   whirligig, wind