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."
tick-tack-toe
ticky-tacky
Ticonderoga
tidal
tidbit
tiddlywinks
tide
tidewater
tidings
tidy
tie