The Collaborative International Dictionary of English v.0.48:

Jog \Jog\ (j[o^]g), v. t. [imp. & p. p. Jogged (j[o^]gd); p.
   pr. & vb. n. Jogging (j[o^]g"g[i^]ng).] [OE. joggen; cf. W.
   gogi to shake, and also E. shog, shock, v.]
   [1913 Webster]
   1. To push or shake with the elbow or hand; to jostle; esp.,
      to push or touch, in order to give notice, to excite one's
      attention, or to warn.
      [1913 Webster]

            Now leaps he upright, jogs me, and cries: Do you see
            Yonder well-favored youth?            --Donne.
      [1913 Webster]

            Sudden I jogged Ulysses, who was laid
            Fast by my side.                      --Pope.
      [1913 Webster]

   2. To suggest to; to notify; to remind; to call the attention
      of; as, to jog the memory.
      [1913 Webster]

   3. To cause to jog; to drive at a jog, as a horse. See Jog,
      v. i.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Jog \Jog\, v. i.
   1. To move by jogs or small shocks, like those of a slow
      trot; to move slowly, leisurely, or monotonously; --
      usually with on, sometimes with over.
      [1913 Webster]

            Jog on, jog on, the footpath way.     --Shak.
      [1913 Webster]

            So hung his destiny, never to rot,
            While he might still jog on and keep his trot.
                                                  --Milton.
      [1913 Webster]

            The good old ways our sires jogged safely over. --R.
                                                  Browning.
      [1913 Webster]

   2. To run at less than maximum speed; to move on foot at a
      pace between a walk and a run; to run at a moderate pace
      so as to be able to continue for some time; -- performed
      by people, mostly for exercise.
      [PJC]

The Collaborative International Dictionary of English v.0.48:

Jog \Jog\, n.
   1. A slight shake; a shake or push intended to give notice or
      awaken attention; a push; a jolt.
      [1913 Webster]

            To give them by turns an invisible jog. --Swift.
      [1913 Webster]

   2. A rub; a slight stop; an obstruction; hence, an
      irregularity in motion of from; a hitch; a break in the
      direction of a line or the surface of a plane. --Glanvill.
      [1913 Webster]

   3. A liesurely running pace. See jog[2], v. i.
      [PJC]

   Jog trot, a slow, regular, jolting gait; hence, a routine
      habit or method, persistently adhered to. --T. Hook.
      [1913 Webster]

WordNet (r) 3.0 (2006):

jog
    n 1: a sharp change in direction; "there was a jog in the road"
    2: a slow pace of running [syn: jog, trot, lope]
    3: a slight push or shake [syn: nudge, jog]
    v 1: continue talking or writing in a desultory manner; "This
         novel rambles on and jogs" [syn: ramble on, ramble,
         jog]
    2: even up the edges of a stack of paper, in printing [syn:
       square up, jog, even up]
    3: run for exercise; "jog along the canal"
    4: run at a moderately swift pace [syn: trot, jog, clip]
    5: give a slight push to
    6: stimulate to remember; "jog my memory"

Moby Thesaurus II by Grady Ward, 1.0:

252 Moby Thesaurus words for "jog":
   agitate, amble, andante, assault, barge, bear, bear upon, bearing,
   bilge, blain, blaze, bleb, blister, blob, bob, bobble, boost, boss,
   bounce, bow, bowl along, bubble, buck, bulb, bulge, bull, bulla,
   bulldoze, bump, bump against, bunch, bundle, bunt, burl, butt,
   butt against, button, cahot, chatter, chine, claudication, cleft,
   clump, condyle, convex, cram, crawl, creep, crena, crowd, cut,
   dead march, depression, didder, dig, dither, dogtrot, dowel, drag,
   drive, droop, ear, elbow, falter, flange, flap, flick, flip, flirt,
   flounce, foot, footpace, footslog, force, funeral march, gait,
   gall, gallop, gash, gnarl, goad, grimace, hack, halt, handle,
   have an ague, head, hill, hippety-hop, hitch, hobble, hop, hump,
   hunch, hurtle, hustle, incision, indentation, jab, jactitate, jag,
   jam, jar, jerk, jig, jigger, jigget, jiggle, jog trot, joggle,
   jolt, jostle, jounce, jump, kerf, knob, knot, knur, knurl,
   leisurely gait, limp, lip, lock step, loop, lumber, lumbering pace,
   lump, lunge, lurch, mince, mincing steps, mole, mountain, nevus,
   nick, nock, notch, nub, nubbin, nubble, nudge, pace, paddle,
   papilloma, peg, piaffe, piaffer, pile drive, plod, pluck, poke,
   prance, press, pressure, prod, punch, push, quake, quaver, quiver,
   rack, ram, ram down, rattle, rib, rictus, ridge, ring, roll, run,
   run against, sashay, saunter, score, scotch, scuff, scuffle,
   scuttle, shake, shamble, shiver, shock, shoulder, shove, shudder,
   shuffle, sidle, single-foot, skip, slink, slither, slog, slouch,
   slow march, slow motion, slowness, snake, snatch, spine, stagger,
   stalk, stamp, start, step, stomp, straddle, straggle, stress,
   stride, stroll, strolling gait, strut, stud, stump, style,
   sudden pull, swagger, swing, tab, tamp, thrust, tic, tittup,
   toddle, totter, traipse, tread, tremble, tremor, trip, trot,
   trudge, tubercle, tubercule, tweak, twitch, twitter, velocity,
   verruca, vesicle, vibrate, waddle, wale, walk, wamble, wart, welt,
   wiggle, wobble, wrench, yank, yerk