The Collaborative International Dictionary of English v.0.48:

Tiddledywinks \Tid"dle*dy*winks`\, n.
   A game in which the object is to snap small disks of plastic,
   bone, ivory, or the like, from a flat surface, as of a table,
   into a small cup or basket; -- called also tiddlywinks. [U.
   S.]
   [Webster 1913 Suppl.]

The Collaborative International Dictionary of English v.0.48:

Tiddlywinks \Tid"dly*winks`\, n.
   Same as Tiddledywinks. --Kipling.
   [Webster 1913 Suppl.]

WordNet (r) 3.0 (2006):

tiddlywinks
    n 1: a game in which players try to flip plastic disks into a
         cup by pressing them on the side sharply with a larger disk