The Collaborative International Dictionary of English v.0.48:

Ambidexterity \Am"bi*dex*ter"i*ty\, n.
   1. The quality of being ambidextrous; the faculty of using
      both hands with equal facility. Hence: Versatility;
      general readiness; as, ambidexterity of argumentation.
      --Sterne.
      [1913 Webster]

            Ignorant I was of the human frame, and of its latent
            powers, as regarded speed, force, and ambidexterity.
                                                  --De Quincey.
      [1913 Webster]

   2. Double-dealing. (Law) A juror's taking of money from the
      both parties for a verdict.
      [1913 Webster]

WordNet (r) 3.0 (2006):

ambidexterity
    n 1: the property of being equally skillful with each hand [syn:
         ambidexterity, ambidextrousness]