In a small bowl, whisk together 2 tablespoons soy sauce, 1 tablespoon sesame oil, 1 teaspoon white sesame seeds, 1 tablespoon honey, and a pinch of black pepper until combined.
Place the tuna steak in a shallow dish or resealable bag and pour the marinade over it, coating all sides. Refrigerate and marinate for at least 10 minutes.
Heat a skillet over high heat and add the remaining 1 tablespoon sesame oil. When the oil is hot and shimmering, place the tuna in the pan.
Sear the tuna for 2 minutes on one side, then flip and sear for 2 minutes on the other side for medium-rare doneness.
Transfer the tuna to a cutting board and let it rest briefly, then slice into 1/2-inch-thick slices.
Arrange sliced tuna on a plate, sprinkle with sliced green onions and additional sesame seeds if desired, and serve with lime wedges.