In a small bowl, stir together honey, vinegar, and soy sauce. Heat a large skillet or wok over high until hot. Add 1 tablespoon oil and swirl to coat skillet. Add chicken and stir until opaque but not cooked through, about 3 minutes; transfer to a plate.
Add 1 tablespoon oil, ginger, and garlic to skillet and stir until fragrant, 30 seconds. Add peppers and stir 2 minutes. Add soy mixture and bring to a boil. Return chicken to skillet and toss until sauce thickens and chicken is cooked through, about 3 minutes. Serve over rice, topped with cilantro.
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