WordNet (r) 3.0 (2006):

carry on
    v 1: direct the course of; manage or control; "You cannot
         conduct business like this" [syn: conduct, carry on,
         deal]
    2: keep or maintain in unaltered condition; cause to remain or
       last; "preserve the peace in the family"; "continue the
       family tradition"; "Carry on the old traditions" [syn:
       continue, uphold, carry on, bear on, preserve]
       [ant: cease, discontinue, give up, lay off, quit,
       stop]
    3: continue talking; "I know it's hard," he continued, "but
       there is no choice"; "carry on--pretend we are not in the
       room" [syn: continue, go on, carry on, proceed]
    4: misbehave badly; act in a silly or improper way; "The
       children acted up when they were not bored" [syn: act up,
       carry on]

Moby Thesaurus II by Grady Ward, 1.0:

231 Moby Thesaurus words for "carry on":
   abide, act up, antic, assault, attack, barbarize, batter,
   be enthusiastic, be livid, be patient, be pissed,
   be responsible for, bear with composure, behave ill, bide, bluster,
   boil, browned off, brutalize, bubble over, burn, butcher,
   call the signals, caper, captain, caracole, carry on over,
   carry out, carry through, cavort, cease not, chafe, command,
   conduct, continue, continue to be, control, curvet, cut a dido,
   cut capers, cut up, cut up rough, dance, deal with, defeat time,
   defy time, destroy, direct, disport, do, drag on, drive, dwell,
   effervesce, employ, endure, engage in, engineer, enthuse, exercise,
   exist, extend, flounce, follow, fool around, forbear, fret, frisk,
   frolic, fume, gambol, get into mischief, go along, go in for,
   go on, go on over, govern, gush, gush over, hammer, handle,
   hang on, have a conniption, head, head up, hell around, hold,
   hold on, hold out, hold steady, horse, horse around, horseplay,
   jog on, keep, keep at, keep at it, keep busy, keep driving,
   keep going, keep moving, keep on, keep trying, keep up, last,
   last long, last out, lay waste, lead, lead on, linger, live,
   live on, live through, loot, maffick, maintain, make go,
   make much of, make the rules, manage, maneuver, manipulate,
   mastermind, maul, misbehave, misdemean, mug, never cease,
   not accept compromise, officer, operate, ordain, order, peg away,
   perdure, perennate, perform on, persevere, persist, pillage, pilot,
   pissed off, play, play the fool, plug away, practice, prescribe,
   prevail, prosecute, pull the strings, pursue, quarterback, rage,
   raise Cain, raise hell, raise sand, raise the deuce,
   raise the devil, raise the roof, ramp, rampage, rant,
   rant and rave, rape, rave, rave about, regulate, remain,
   rhapsodize, riot, roar, rollick, romp, roughhouse, ruin, run,
   run on, sack, savage, see to, seethe, simmer, sizzle, skip,
   skipper, slaughter, slog on, smoke, smolder, sow chaos,
   specialize in, sport, stagger on, stand, stay, stay on, steer,
   stew, storm, subsist, survive, sustain, tackle, take care of,
   take command, take on, take on over, take the lead, take to,
   take up, tarry, tear, tear around, terrorize, throw a fit,
   tide over, trip, undertake, use, vandalize, violate, wage, wait,
   wait it out, wear, wear well, whoop it up, work, work at, wreck