In a medium bowl, combine the sliced chicken, soy sauce, sesame oil, brown sugar, ginger, and garlic; marinate for at least 15 minutes.
In a small bowl, whisk together the mayonnaise, gochujang, honey, and lime juice until the sauce is smooth.
Heat a large skillet or wok over medium-high heat with a thin coating of oil.
Add the chicken to the skillet in a single layer and cook until browned and cooked through, approximately 6 to 8 minutes.
Divide the cooked jasmine rice into four bowls.
Arrange the cooked chicken, julienned carrots, cucumber slices, and kimchi on top of the rice.
Drizzle the gochujang cream sauce over the bowls.
Garnish with sliced green onions and toasted sesame seeds before serving.