The Collaborative International Dictionary of English v.0.48:

Stargazer \Star"gaz`er\ (-g[=a]z`[~e]r), n.
   1. One who gazes at the stars; an astrologer; sometimes, in
      derision or contempt, an astronomer.
      [1913 Webster]

   2. (Zool.) Any one of several species of spiny-rayed marine
      fishes belonging to Uranoscopus, Astroscopus, and
      allied genera, of the family Uranoscopidae. The common
      species of the Eastern United States are Astroscopus
      anoplus, and Astroscopus guttatus. So called from the
      position of the eyes, which look directly upward.
      [1913 Webster]

WordNet (r) 3.0 (2006):

stargazer
    n 1: someone indifferent to the busy world; "in the Odyssey
         Homer tells of lotus-eaters who live in dreamy indolence"
         [syn: lotus-eater, stargazer]
    2: a physicist who studies astronomy [syn: astronomer,
       uranologist, stargazer]
    3: heavy-bodied marine bottom-lurkers with eyes on flattened top
       of the head

Moby Thesaurus II by Grady Ward, 1.0:

19 Moby Thesaurus words for "stargazer":
   Chaldean, astroalchemist, astrogeologist, astrographer, astrologer,
   astrologian, astromancer, astronomer, astrophysicist, genethliac,
   horoscoper, horoscopist, radar astronomer, radio astronomer,
   solar physicist, uranographer, uranographist, uranologist,
   uranometrist