tiddlywink

Sense 1 (“unlicensed beerhouse or pawnshop”) and sense 2 (“alcoholic drink”) are possibly related to tiddly (“(noun) alcoholic beverage; (adjective) somewhat drunk”).

The noun is possibly derived from tiddly (“(informal) little, tiny”) +‎ wink (“blinking of one eye”), perhaps borrowed from etymology 1. The game, now called tiddlywinks, was patented by a British bank clerk, Joseph Assheton Fincher (1863–1900), on 19 October 1889, and the name Tiddledy-Winks trademarked by him the same year.

The verb is derived from the noun.