The Collaborative International Dictionary of English v.0.48:

Wheen \Wheen\, n. [Cf. AS. hw[=e]ne, hw[=ae]ne, a little,
   somewhat, hw[=o]n little, few.]
   A quantity; a goodly number. [Scot.] "A wheen other dogs."
   --Sir W. Scott.
   [1913 Webster]