Chance, Old-Style is a term used to describe a type of gambling game that was popular in the 19th century. The game involved players betting on the outcome of a dice roll, and the player with the highest score would win the pot. The crossword solution for this term is HAP, which stands for High-Low-Ace-Pair. This is a variation of the game where players bet on the outcome of two dice rolls, with the highest and lowest scores winning the pot.