The Collaborative International Dictionary of English v.0.48:

Tweedle \Twee"dle\, v. t. [Cf. Twiddle.] [Written also
   twidle.]
   1. To handle lightly; -- said with reference to awkward
      fiddling; hence, to influence as if by fiddling; to coax;
      to allure.
      [1913 Webster]

            A fiddler brought in with him a body of lusty young
            fellows, whom he had tweedled into the service.
                                                  --Addison.
      [1913 Webster]

   2. To twist. [Prov. Eng.] --Halliwell.
      [1913 Webster]

WordNet (r) 3.0 (2006):

tweedle
    v 1: sing in modulation [syn: tweedle, chirp]
    2: play negligently on a musical instrument
    3: entice through the use of music