In a shallow dish, mix flour, salt, thyme, pepper, and paprika. Lightly coat each side of chicken in flour mixture.
In a shallow dish, mix flour, salt, thyme, pepper, and paprika. Lightly coat each side of chicken in flour mixture.
In same skillet over medium heat, heat remaining 2 tablespoons tomato oil. Cook onion, stirring occasionally and adding 1 to 2 tablespoons water if onions are getting too dark, until softened and beginning to caramelize, about 12 minutes.
Add sun-dried tomatoes and garlic and cook, stirring, until warmed through, about 1 minute. Add wine, broth, and half of lemon juice. Bring to a simmer over medium heat and cook, stirring frequently, until thickened enough to coat the back of a spoon, about 10 minutes. Reduce to medium-low and return chicken to skillet. Cover and cook, undisturbed, until chicken is cooked through, 7 to 8 minutes.
Remove from heat. Squeeze remaining lemon juice over. Top with herbs and capers (if using).