The Collaborative International Dictionary of English v.0.48:

mimer \mim"er\, n.
   1. A person who performs in a mime.

   Syn: mime, mummer, pantomimer, pantomimist.
        [PJC]

   2. A mimic.
      [PJC]

The Collaborative International Dictionary of English v.0.48:

Mime \Mime\, v. i.
   To mimic. [Obs.] -- Mim"er, n.
   [1913 Webster]

WordNet (r) 3.0 (2006):

mimer
    n 1: an actor who communicates entirely by gesture and facial
         expression [syn: mime, mimer, mummer, pantomimer,
         pantomimist]