The Collaborative International Dictionary of English v.0.48:

Spinney \Spin"ney\ (sp[i^]n"n[y^]), n.; pl. Spinneys
   (sp[i^]n"n[i^]z).
   Same as Spinny. --T. Hughes.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Spinny \Spin"ny\, n.; pl. Spinnies. [OF. espinaye,espinoye,
   espinei, espanoi, F. ['e]pinaie, from L. spinetum a thicket
   of thorns, fr. spina a thorn. See Spine.]
   A small thicket or grove with undergrowth; a clump of trees.
   [Written also spinney, and spinny.]
   [1913 Webster]

         The downs rise steep, crowned with black fir spinnies.
                                                  --C. Kingsley.
   [1913 Webster]

WordNet (r) 3.0 (2006):

spinney
    n 1: a copse that shelters game