tiddlywinks

[tid-lee-wingks] /ˈtɪd liˌwɪŋks/
noun, (used with a singular verb)
1.
a game played on a flat surface, in which players attempt to snap small plastic disks into a cup by pressing the edges of the disks with larger ones.
Also, tiddledywinks
[tid-l-dee-wingks] /ˈtɪd l diˌwɪŋks/ (Show IPA)
.
Origin
1835-45; plural of tiddlywink (tiddly tiny + dial. wink, variant of winch), referring to the counter used to snap the pieces into place; see -s3
British Dictionary definitions for tiddlywinks

tiddlywinks

/ˈtɪdlɪˌwɪŋks/
noun
1.
(functioning as sing) a game in which players try to flick discs of plastic into a cup by pressing them sharply on the side with other larger discs
Word Origin
C19: probably from tiddly1 + dialect wink, variant of winch1
Word Origin and History for tiddlywinks
n.

children's tile-flipping game, 1857, probably an arbitrary formation from baby talk, but perhaps from slang tiddly-wink "unlicensed drink shop" (1844), from slang tiddly "a drink, drunk."