The Collaborative International Dictionary of English v.0.48:

Chary \Char"y\ (ch[^a]r"[y^] or ch[=a]"r[y^]; 277), a. [AS.
   cearig careful, fr. cearu care. See Care.]
   1. Careful; wary; cautious; not rash, or reckless; as, the
      latest internet IPO's were shunned by investors made chary
      by the poor performance of the first wave of companies
      that went public.
      [1913 Webster +PJC]

            His rising reputation made him more chary of his
            fame.                                 --Jeffrey.
      [1913 Webster]

   2. Saving; frugal; sparing; not spendthrift; -- often used
      with of; as, chary of his praise.
      [1913 Webster +PJC]

   3. Fastidious; picky; choosy.
      [PJC]

WordNet (r) 3.0 (2006):

chary
    adj 1: characterized by great caution and wariness; "a cagey
           avoidance of a definite answer"; "chary of the risks
           involved"; "a chary investor" [syn: cagey, cagy,
           chary]

Moby Thesaurus II by Grady Ward, 1.0:

47 Moby Thesaurus words for "chary":
   Scotch, cagey, calculating, canny, careful, cheeseparing,
   circumspect, conserving, considerate, constrained, discreet,
   disinclined, distrustful, economic, economical, economizing,
   forehanded, frugal, gingerly, guarded, hesitant, inhibited,
   labor-saving, leery, loath, mistrustful, money-saving,
   parsimonious, penny-wise, provident, prudent, prudential,
   reluctant, restrained, safe, saving, scrimping, shy, skimping,
   spare, sparing, suspecting, suspicious, thrifty, time-saving,
   unwasteful, wary