Rub chicken with the balsamic vinegar; sprinkle one side with salt, pepper, half of the curry powder and half of the flour.
In a skillet, heat the olive oil over medium-high heat; add chicken, floured side down, then carefully sprinkle with remaining curry powder and flour along with salt and pepper.
Reduce heat to medium and cook for about 5 minutes per side, or until cooked through.
Serve with a lime wedge and chopped cilantro over the top.