Combine flour, thyme, and salt in a zip-top plastic bag; add chicken. Seal and shake to coat. Remove chicken from bag, shaking off excess flour.
Heat oil in a large nonstick skillet over medium-high heat. Add chicken; cook 8 minutes or until browned, turning frequently. Remove chicken from pan.
Add mushrooms, carrot, and bacon to pan; sauté 2 minutes. Stir in wine, broth, and tomato paste; cook 9 minutes. Return chicken to pan; cook 8 minutes or until chicken is done.