The Collaborative International Dictionary of English v.0.48:

Overrun \O`ver*run"\, v. t. [imp. Overran; p. p. Overrun; p.
   pr. & vb. n. Overrunning. ]
   1. To run over; to grow or spread over in excess; to invade
      and occupy; to take possession of; as, the vine overran
      its trellis; the farm is overrun with witch grass.
      [1913 Webster]

            Those barbarous nations that overran the world.
                                                  --Spenser.
      [1913 Webster]

   2. To exceed in distance or speed of running; to go beyond or
      pass in running.
      [1913 Webster]

            Ahimaaz ran by the way of the plain, and overran
            Cushi.                                --2 Sam.
                                                  xviii. 23.
      [1913 Webster]

   3. To go beyond; to extend in part beyond; as, one line
      overruns another in length.
      [1913 Webster]

   Note: In machinery, a sliding piece is said to overrun its
         bearing when its forward end goes beyond it.
         [1913 Webster]

   4. To abuse or oppress, as if by treading upon.
      [1913 Webster]

            None of them the feeble overran.      --Spenser.
      [1913 Webster]

   5. (Print.)
      (a) To carry over, or back, as type, from one line or page
          into the next after, or next before.
      (b) To extend the contents of (a line, column, or page)
          into the next line, column, or page.
          [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Overrun \O`ver*run"\, v. i.
   1. To run, pass, spread, or flow over or by something; to be
      beyond, or in excess.
      [1913 Webster]

            Despised and trodden down of all that overran.
                                                  --Spenser.
      [1913 Webster]

   2. (Print.) To extend beyond its due or desired length; as, a
      line, or advertisement, overruns.
      [1913 Webster]

WordNet (r) 3.0 (2006):

overrun
    n 1: too much production or more than expected [syn:
         overproduction, overrun]
    v 1: invade in great numbers; "the roaches infested our kitchen"
         [syn: infest, overrun]
    2: occupy in large numbers or live on a host; "the Kudzu plant
       infests much of the South and is spreading to the North"
       [syn: invade, overrun, infest]
    3: flow or run over (a limit or brim) [syn: overflow,
       overrun, well over, run over, brim over]
    4: seize the position of and defeat; "the Crusaders overran much
       of the Holy Land"
    5: run beyond or past; "The plane overran the runway"

Moby Thesaurus II by Grady Ward, 1.0:

242 Moby Thesaurus words for "overrun":
   adopt, appropriate, arrogate, assume, attack, balance, beat, beset,
   bespread, blitz, bonus, branch, branch out, bud, burgeon,
   burst forth, cascade, cataract, clobber, colonize, compose,
   conquer, crawl with, creep with, defeat, deluge, dense, deploy,
   despoil, destroy, diffuse, disperse, dividend, drub, engulf,
   enslave, exaggerate, exaggeration, exceed, excess, expand, extend,
   extend throughout, extra, exuberant, fan, fan out, fill, flare,
   flood, flourish, flourishing, foray, gemmate, germinate, go beyond,
   gratuity, gross, grow, grow rank, harry, heavy, hit and run, hog,
   honeycomb, imbue, impenetrable, impose, indent, infest, inroad,
   inundate, inundation, invade, jump a claim, jungled, jungly,
   justify, know no bounds, lagniappe, lambaste, leaf, leaf out,
   leave, leave no void, leaven, leftover, lick, lush, luxuriant,
   luxuriate, make free with, make up, make use of, maraud, margin,
   monopolize, occupy, open, open up, outspread, outstep, outstretch,
   overabound, overage, overbrim, overdo, overfill, overflow,
   overflowing, overgo, overgrow, overgrown, overgrowth, overjump,
   overleap, overmeasure, overpass, overplus, overreach, override,
   overrunning, overset, overshoot, overshoot the field,
   overshoot the mark, overspill, overspread, overspreading, overstep,
   overstock, overstride, oversupply, overswarm, overwhelm, pass,
   penetrate, permeate, pervade, pi, pi a form, pillage, plague,
   plunder, plus, pour out, pour over, pourboire, preempt, preoccupy,
   prepossess, pullulate, put forth, put forth leaves, put out buds,
   raid, ramify, rank, ravage, remainder, requisition, ride down,
   ride over, ride roughshod over, riot, riotous, root, run down,
   run over, run riot, run through, sack, scourge, set, set in print,
   shoot, shoot up, sit on, slop, slosh, smear, something extra,
   spare, spill, spill out, spill over, splay, spraddle, sprangle,
   sprawl, spread, spread like wildfire, spread out, sprout,
   sprout up, squat on, storm, strike root, strip, subjugate,
   submerge, suffuse, superabound, superiority, surpass, surplus,
   surplusage, swamp, swarm, swarm with, sweep, take all of,
   take it all, take over, take possession of, take root, take up,
   teem, teem with, thick, thrash, tip, trample, trample on,
   trample underfoot, trample upon, transcend, transfuse, tread upon,
   trim, unfold, unweeded, upspear, upsprout, usurp, vandalize,
   vegetate, weed-choked, weed-ridden, weedy, whelm, widen



The Jargon File (version 4.4.7, 29 Dec 2003):

overrun
 n.

    1. [techspeak] Term for a frequent consequence of data arriving faster than
    it can be consumed, esp. in serial line communications. For example, at
    9600 baud there is almost exactly one character per millisecond, so if a 
    silo can hold only two characters and the machine takes longer than 2 msec
    to get to service the interrupt, at least one character will be lost.

    2. Also applied to non-serial-I/O communications. ?I forgot to pay my
    electric bill due to mail overrun.? ?Sorry, I got four phone calls in 3
    minutes last night and lost your message to overrun.? When thrashing at
    tasks, the next person to make a request might be told ?Overrun!? Compare 
    firehose syndrome.

    3. More loosely, may refer to a buffer overflow not necessarily related
    to processing time (as in overrun screw).


The Free On-line Dictionary of Computing (30 December 2018):

overrun

   1. A frequent consequence of data arriving faster than it can
   be consumed, especially in serial line communications.  For
   example, at 9600 baud there is almost exactly one character
   per millisecond, so if a silo can hold only two characters
   and the machine takes longer than 2 milliseconds to get to
   service the interrupt, at least one character will be lost.

   2. Also applied to non-serial-I/O communications.  "I forgot
   to pay my electric bill due to mail overrun."  "Sorry, I got
   four phone calls in 3 minutes last night and lost your message
   to overrun."  When thrashing at tasks, the next person to
   make a request might be told "Overrun!"  Compare firehose
   syndrome.

   3. More loosely, may refer to a buffer overflow not
   necessarily related to processing time (as in overrun
   screw).

   [Jargon File]