The Collaborative International Dictionary of English v.0.48:

Quit \Quit\, v. t. [imp. & p. p. Quit or Quitted; p. pr. &
   vb. n. Quitting.] [OE. quiten, OF. quiter, quitier,
   cuitier, F. quitter, to acquit, quit, LL. quietare, fr. L.
   quietare to calm, to quiet, fr. quietus quiet. See Quiet,
   a., and cf. Quit, a., Quite, Acquit, Requite.]
   1. To set at rest; to free, as from anything harmful or
      oppressive; to relieve; to clear; to liberate. [R.]
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            To quit you of this fear, you have already looked
            Death in the face; what have you found so terrible
            in it?                                --Wake.
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   2. To release from obligation, accusation, penalty, or the
      like; to absolve; to acquit.
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            There may no gold them quyte.         --Chaucer.
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            God will relent, and quit thee all his debt.
                                                  --Milton.
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   3. To discharge, as an obligation or duty; to meet and
      satisfy, as a claim or debt; to make payment for or of; to
      requite; to repay.
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            The blissful martyr quyte you your meed. --Chaucer.
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            Enkindle all the sparks of nature
            To quit this horrid act.              --Shak.
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            Before that judge that quits each soul his hire.
                                                  --Fairfax.
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   4. To meet the claims upon, or expectations entertained of;
      to conduct; to acquit; -- used reflexively.
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            Be strong, and quit yourselves like men. --1 Sam.
                                                  iv. 9.
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            Samson hath quit himself
            Like Samson.                          --Milton.
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   5. To carry through; to go through to the end. [Obs.]
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            Never worthy prince a day did quit
            With greater hazard and with more renown. --Daniel.
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   6. To have done with; to cease from; to stop; hence, to
      depart from; to leave; to forsake; as, to quit work; to
      quit the place; to quit jesting.
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            Such a superficial way of examining is to quit truth
            for appearance.                       --Locke.
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   To quit cost, to pay; to reimburse.

   To quit scores, to make even; to clear mutually from
      demands.
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            Does not the earth quit scores with all the elements
            in the noble fruits that issue from it? --South.
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   Syn: To leave; relinquish; resign; abandon; forsake;
        surrender; discharge; requite.

   Usage: Quit, Leave. Leave is a general term, signifying
          merely an act of departure; quit implies a going
          without intention of return, a final and absolute
          abandonment.
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