The Collaborative International Dictionary of English v.0.48:

Quickness \Quick"ness\, n.
   1. The condition or quality of being quick or living; life.
      [Obs.]
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            Touch it with thy celestial quickness. --Herbert.
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   2. Activity; briskness; especially, rapidity of motion;
      speed; celerity; as, quickness of wit.
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            This deed . . . must send thee hence
            With fiery quickness.                 --Shak.
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            His mind had, indeed, great quickness and vigor. --
                                                  Macaulay.
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   3. Acuteness of perception; keen sensibility.
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            Would not quickness of sensation be an inconvenience
            to an animal that must lie still ?    --Locke
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   4. Sharpness; pungency of taste. --Mortimer.
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   Syn: Velocity; celerity; rapidity; speed; haste; expedition;
        promptness; dispatch; swiftness; nimbleness; fleetness;
        agility; briskness; liveliness; readiness; sagacity;
        shrewdness; shrewdness; sharpness; keenness.
        [1913 Webster]

WordNet (r) 3.0 (2006):

quickness
    n 1: skillful performance or ability without difficulty; "his
         quick adeptness was a product of good design"; "he was
         famous for his facility as an archer" [syn: adeptness,
         adroitness, deftness, facility, quickness]
    2: intelligence as revealed by an ability to give correct
       responses without delay [syn: mental quickness,
       quickness, quick-wittedness]
    3: a rate that is rapid [syn: celerity, quickness,
       rapidity, rapidness, speediness]