The Collaborative International Dictionary of English v.0.48:

Teary \Tear"y\, a.
   1. Wet with tears; tearful.
      [1913 Webster]

   2. Consisting of tears, or drops like tears.
      [1913 Webster]

WordNet (r) 3.0 (2006):

teary
    adj 1: with eyes full of tears [syn: teary, teary-eyed,
           watery-eyed]

Moby Thesaurus II by Grady Ward, 1.0:

36 Moby Thesaurus words for "teary":
   bathetic, beery, blubbering, cloying, crying, dissolved in tears,
   gooey, gushing, in tears, lachrymal, lachrymose, lacrimatory,
   maudlin, mawkish, mushy, namby-pamby, nostalgic, nostomanic,
   oversentimental, oversentimentalized, ready to cry, romantic,
   sappy, sentimental, sentimentalized, sloppy, sniveling, sobbing,
   soft, sticky, tear-jerking, tearful, weeping, weepy, whimpering,
   with eyes suffused