The Collaborative International Dictionary of English v.0.48:

Cleanly \Clean"ly\, adv.
   1. In a clean manner; neatly.
      [1913 Webster]

            He was very cleanly dressed.          --Dickens.
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   2. Innocently; without stain. --Shak.
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   3. Adroitly; dexterously. --Middleton.
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The Collaborative International Dictionary of English v.0.48:

Cleanly \Clean"ly\, a. [Compar. Cleanlier; superl.
   Cleanliest.] [From Clean.]
   1. Habitually clean; pure; innocent. "Cleanly joys."
      --Glanvill.
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            Some plain but cleanly country maid.  --Dryden.
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            Displays her cleanly platter on the board.
                                                  --Goldsmith.
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   2. Cleansing; fitted to remove moisture; dirt, etc. [Obs.]
      "With cleanly powder dry their hair." --Prior.
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   3. Adroit; skillful; dexterous; artful. [Obs.]
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            Through his fine handling and his cleanly play.
                                                  --Spenser.
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WordNet (r) 3.0 (2006):

cleanly
    adv 1: in an adroit manner; "he bounced it cleanly off the wall"
           [syn: flawlessly, cleanly]
    2: in a manner that minimizes dirt and pollution; "the motor
       burns cleanly"
    3: without difficulty or distortion; "she played the piano
       accompaniment cleanly"
    adj 1: habitually clean; "cleanly in their persons and
           habitations"