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

Moby Thesaurus II by Grady Ward, 1.0:

86 Moby Thesaurus words for "tweedle":
   anthem, bagpipe, ballad, bay, beep, bell, blare, blast, blat, blow,
   blow a horn, blow the horn, bray, bugle, carillon, carol, chant,
   cheep, chip, chipper, chirm, chirp, chirrup, chitter, choir,
   chorus, clarion, croon, descant, do-re-mi, doodle, double-tongue,
   fanfare, fife, flourish of trumpets, flute, honk, hum, hymn,
   intonate, intone, lilt, lip, minstrel, peal, peep, pipe, psalm,
   quaver, roulade, serenade, shake, shriek, sing, sing in chorus,
   sol-fa, solmizate, sound, sound a tattoo, sound taps, squeal,
   tantara, tantarara, taps, tarantara, tattoo, tongue, toot, tootle,
   tremolo, trill, triple-tongue, troll, trumpet, trumpet blast,
   trumpet call, tweedledee, tweet, twit, twitter, vocalize, warble,
   whistle, wind, wind the horn, yodel