This might relate in some small way, but I also play Go (a 3k-4k year old board game of Chinese origins (Go is the Japanese name)), and miss-clicking is a common-problem when playing on the internet.
One program I play on solved this problem by applying the "click" when the mouse button is released instead of when it's pressed. If a player simply released the button, the action was completed, but if a player accidentally clicked the button, they had the opportunity of moving the mouse away from the area of operation thereby cancelling the action before releasing the button.
Something similar could be adapted if the problem is miss-clicking. However, if it's not, please treat this information as trivia.
Adam