When i was a teenager our terriers used to routinely end entire battles by bursting in and knocking over entire wings of an army, plus running off with some of the soldiers and terrain to have a good chew on them

I like how cats make out they are delicately moving around the pieces but will then sit in the middle of the table and stare at you 

I have a dog and two cats, the dog is fine and one of the cats is ok but I have a cat with three legs and he is a problem as he lists somewhat and can be a total nuisance when jumping up to see what is going on as he invariably wrecks anything set up.

When I do get time to set up a game, my cat Alley, sits on the table as close to the board as possible and directly opposite me. She will sit there and watch everything very intently, doesn't interfere at all just watches. Every once in a while, I'll look up and she'll be staring at me as though to say "You're doing it wrong".