The Collaborative International Dictionary of English v.0.48:

Paddle \Pad"dle\, v. t. [imp. & p. p. Paddled; p. pr. & vb. n.
   Paddling]
   1. To pat or stroke amorously, or gently. [Obsolescent]
      [1913 Webster]

            To be paddling palms and pinching fingers. --Shak.
      [1913 Webster]

   2. To propel with, or as with, a paddle or paddles.
      [1913 Webster]

   3. To pad; to tread upon; to trample. [Prov. Eng.]
      [1913 Webster]

   4. To spank with a paddle or as if with a paddle; -- usually
      as a disciplinary punishment of children.
      [PJC]

   5. To mix (a viscous liquid) by stirring or beating with a
      paddle.
      [PJC]