Heat a deep nonstick skillet over medium-high heat. Add a tablespoon of EVOO and the chicken to the pan. Season chicken with salt and pepper. Brown chicken until lightly golden all over, about 5-6 minutes.
Remove chicken from pan and return the skillet to the heat. Reduce heat to medium. Add another tablespoon EVOO and one tablespoon butter, the garlic and shallots to the skillet. Sauté garlic and shallots three minutes. Add flour and cook two minutes. Whisk in wine and reduce liquid one minute. Whisk lemon juice and broth into sauce. Stir in capers and parsley. When the liquid comes to a bubble, add remaining 1/2 tablespoon butter to the sauce to give it a little shine.
Add chicken back to the pan and heat through, 1-2 minutes. Toss hot pasta with chicken and sauce and serve. Adjust salt and pepper, to your taste. Top with fresh snipped chives.