The Collaborative International Dictionary of English v.0.48:

Shinney \Shin"ney\, n. [CF. Shindy.]
   The game of hockey; -- so called because of the liability of
   the players to receive blows on the shin. --Halliwell.
   [1913 Webster]

WordNet (r) 3.0 (2006):

shinney
    n 1: a simple version of hockey played by children on the
         streets (or on ice or on a field) using a ball or can as
         the puck [syn: shinny, shinney]