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this reminds me of the article I've read before that there are chess players with titles who use cheat when playing with other chess players online. if someone decides to create gambling that caters to chess where you can bet It would be certain that the site will be plagued with cheaters.
It is possible to have a this kind of game if the player could have a live webcam to them (to see if they are using other computer) and a screen share of their computer just like what they are doing in online chess tournament but that was too much right? Setting up cameras and sharing your screen to others.
using screen share could be risky since one of the two players could accidentally expose important information while having a screen share.