The Collaborative International Dictionary of English v.0.48:

Palmister \Pal"mis*ter\, n. [From Palm of the hand.]
   One who practices palmistry. --Bp. Hall.
   [1913 Webster]

WordNet (r) 3.0 (2006):

palmister
    n 1: fortuneteller who predicts your future by the lines on your
         palms [syn: palmist, palmister, chiromancer]