Preheat oven to 500.
Combine first 8 ingredients in a bowl; stir well with a whisk.
Heat a nonstick skillet coated with cooking spray over medium heat. Add chicken, and sautÃ© 2 minutes. Remove chicken from pan.
Pour rice vinegar mixture into pan and bring to a boil over medium-high heat. Cook mixture 6 minutes or until slightly thickened. Return chicken to pan; cook 1 minute or until chicken is done. (Mixture will be consistency of thick syrup.)
Sprinkle cheeses over prepared crust, leaving a 1/2-inch border, and top with chicken mixture. Bake at 500 for 12 minutes on bottom rack in oven. Sprinkle with green onions. Place pizza on a cutting board; let stand 5 minutes.
The sauce for this was way too intense. Next time try substituting water for some of the soy and rice vinegar. Also, we used a full size pizza crust and doubled the topping ingredients. You might also want to try the bigger crust with a single batch of sauce and increase the chicken by half. The was really, really good, just too much flavor.