Coat the chicken with salt and pepper. Add 1 1/2 tablespoons olive oil to a hot cast-iron or heavy-duty pan over high heat. When the oil is shimmering, lower the heat to medium high, add the chicken, and cook for 2-3 minutes on each side, or until cooked through. Set aside to cool.
In a large bowl, add the remaining ingredients, seasoning to taste. Cut the chicken into thin strips, then add to the bowl. Transfer to a tupperware or serve as is.