Pickle the carrots and/or cucumbers if desired (see recipe notes—I highly recommend).
In a large skillet, brown the beef over medium-high heat, breaking it into small pieces, until it is browned and cooked through, about 5 or so minutes. When the beef is about halfway finished cooking, add 1 tablespoon of the soy sauce and ⅔ of the scallions. Once the beef is completely browned, stir in the garlic and cook 30 seconds.
While the beef cooks, in a small bowl, stir together the rice vinegar, honey, ginger, red pepper flakes, and remaining soy sauce.
Pour over the browned beef. Stir and cook for 2 minutes. Remove from the heat, then stir in the sesame oil. Sprinkle the remaining green onion over the top. Taste and add extra soy sauce or red pepper flakes as desired (I added a bit more of each).
Serve the beef hot, over rice, topped generously with the carrots, cucumber, and sesame seeds.