Slice chicken breasts into very thin pieces (freeze slightly if desired to make this easier) and place in a medium bowl. Add next 4 ingredients (worcestershire through ground pepper) and stir to coat chicken.
Heat 1 teaspoon olive oil in a large (9″) oven proof skillet. Add chicken pieces and cook until browned -about 5 minutes. Turn pieces over and cook about 2-3 minutes more or until brown. Remove from skillet.
Add remaining 1 teaspoon olive oil to warm skillet. Then add onions, bell pepper and garlic. Cook and stir to heated and tender- 2-3 minutes.
Turn heat off and add chicken back to skillet and stir with veggies to combine. Place sliced cheese over all and cover 2-3 minutes to melt.
Note: Serve up in bowls for those eating low carb. Serve with warm hoagie rolls for others.