The Collaborative International Dictionary of English v.0.48:

Neatly \Neat"ly\, adv.
   In a neat manner; tidily; tastefully.
   [1913 Webster]

WordNet (r) 3.0 (2006):

neatly
    adv 1: with neatness; "she put the slippers under the bed
           neatly"

Moby Thesaurus II by Grady Ward, 1.0:

45 Moby Thesaurus words for "neatly":
   ably, adeptly, adroitly, agilely, aptly, artfully, artistically,
   brilliantly, capably, chicly, cleverly, competently, cunningly,
   dapperly, dashingly, deftly, dexterously, dextrously, efficiently,
   elegantly, excellently, expertly, exquisitely, featly, foppishly,
   handily, ingeniously, jauntily, masterfully, nattily, nimbly,
   proficiently, resourcefully, skillfully, sleekly, smartly, spryly,
   superbly, swankily, trimly, well, with consummate skill,
   with finesse, with genius, with skill