Heat olive oil in a large skillet over medium-high heat.
Add the sliced chicken, season with half of the spices, and cook until golden brown and fully cooked, about 7-8 minutes.
Remove the chicken from the skillet and set aside.
In the same skillet, add peppers and onion with the remaining spices. Cook until softened and slightly charred, about 5 minutes.
Return the chicken to the skillet and toss everything together.
Divide cooked rice among bowls, then top with chicken and pepper mixture.
Sprinkle with cheese, fresh cilantro, and a squeeze of lime before serving.