In a small bowl mix the oil, smoked paprika, sea salt, and garlic. Rub this mix under the chicken skin and on the back of the chicken OR rub all over the chicken if you're using skinless.
Heat a large frying pan over medium-high heat and add enough oil to thinly coat the bottom. Sear the chicken, skin side down, until it is well browned on the skin side, about 5 minutes. Don't crowd the pan and work in batches if you need to. Drain off any fat that has accumulated in the pan and turn the chicken thighs skin side up.
In a small bowl mix the honey, balsamic vinegar, and the soy sauce and pour this into the pan with the chicken. Bring the pan to boil over medium heat then reduce the heat to keep it at a simmer. Be careful as the honey will boil over easily. Let the chicken cook, uncovered, for 15 minutes.
Either serve as is with the sauce over top or remove the chicken from the pan and boil the sauce hard for a few minutes to thicken it. Drizzle with a little reduced balsamic and a sprinkle of parsley.