The Collaborative International Dictionary of English v.0.48:

Finger \Fin"ger\, v. t. [imp. & p. p. Fingered; p. pr. & vb.
   n. Fingering.]
   1. To touch with the fingers; to handle; to meddle with.
      [1913 Webster]

            Let the papers lie;
            You would be fingering them to anger me. --Shak.
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   2. To touch lightly; to toy with.
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   3. (Mus.)
      (a) To perform on an instrument of music.
      (b) To mark the notes of (a piece of music) so as to guide
          the fingers in playing.
          [1913 Webster]

   4. To take thievishly; to pilfer; to purloin. --Shak.
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   5. To execute, as any delicate work.
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The Collaborative International Dictionary of English v.0.48:

Fingering \Fin"ger*ing\, n.
   1. The act or process of handling or touching with the
      fingers.
      [1913 Webster]

            The mere sight and fingering of money. --Grew.
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   2. The manner of using the fingers in playing or striking the
      keys of an instrument of music; movement or management of
      the fingers in playing on a musical instrument, in
      typewriting, etc.
      [1913 Webster]

   3. The marking of the notes of a piece of music to guide or
      regulate the action or use of the fingers.
      [1913 Webster]

   4. Delicate work made with the fingers. --Spenser.
      [1913 Webster]

WordNet (r) 3.0 (2006):

fingering
    n 1: the placement of the fingers for playing different notes
         (or sequences of notes) on a musical instrument
    2: touching something with the fingers

Moby Thesaurus II by Grady Ward, 1.0:

57 Moby Thesaurus words for "fingering":
   cantando, caressing, characterization, demilegato, denomination,
   denotation, designation, differentiation, disclosure, execution,
   expression, feeling, friction, frottage, glissando, handling, hint,
   identification, indication, indicativeness, intonation, legato,
   manifestation, manipulation, meaning, mezzo staccato, music-making,
   naming, palpation, parlando, performance, petting, pianism,
   picking out, pizzicato, pointing, pointing out, pointing to,
   pressure, rendering, rendition, repercussion, rubato, rubbing,
   selection, show, showing, signification, slur, specification,
   spiccato, staccato, stroking, suggestion, symptomaticness, touch,
   touching