The Collaborative International Dictionary of English v.0.48:

Fice \Fice\ (f[imac]s), n.
   A small dog; -- written also fise, fyce, fiste, etc.
   [Southern U.S.]
   [1913 Webster]

WordNet (r) 3.0 (2006):

fice
    n 1: a nervous belligerent little mongrel dog [syn: feist,
         fice]