Place the chicken into a large bowl, and toss with 1/4 tsp each of salt and pepper, and flour. Make sure strips are coated evenly.
Heat a large skillet over medium high heat. Add the 2 tsp of butter, along with 1 tbsp olive oil and sauté the chicken strips till golden brown, about 3-4 minutes per side, turning when needed. Transfer to a plate. Use a piece of paper towel to wipe out the pan of any bits that could scorch during the next step.
Feel free to use all chicken or all shrimp. Just double and cook as directed.
This dish can be served at room temperature as a salad of sorts, just use an easier to manage pasta like rigatoni, macaroni, or orzo.