The Collaborative International Dictionary of English v.0.48:

While \While\, v. t. [imp. & p. p. Whiled; p. pr. & vb. n.
   Whiling.]
   To cause to pass away pleasantly or without irksomeness or
   disgust; to spend or pass; -- usually followed by away.
   [1913 Webster]

         The lovely lady whiled the hours away.   --Longfellow.
   [1913 Webster]