The Collaborative International Dictionary of English v.0.48:

Picking \Pick"ing\, a.
   1. Done or made as with a pointed tool; as, a picking sound.
      [1913 Webster]

   2. Nice; careful. [Obs.]
      [1913 Webster]

            was too warm on picking work to dwell. --Dryden.
      [1913 Webster]

   Picking peg. (Weaving) See Picker, n., 3.
      [1913 Webster]