Mix the tomato paste, chili crunch, honey, soy sauce, vinegar, water, and scallion whites together in a small bowl. Set aside.
Heat a large skillet over medium-high heat with 1 tablespoon of olive oil. Once hot, add the cauliflower and toss to coat in the oil. Cook for 4-5 minutes, stirring occasionally, until the cauliflower begins to brown in spots. Transfer to a large bowl and cover with a plate or lid. The steam will finish cooking the cauliflower.
Add the remaining 1/2 tablespoon of olive oil to the pan, followed by the ground beef. Cook for 3-4 minutes on one side to brown the beef until a crust begins to form. Break the beef apart with a spatula and finish cooking.
Add the sauce to the beef and cook for 1-2 minutes until the sauce thickens and evenly coats the beef. Add the cauliflower to the pan and toss everything together.
Garnish with the scallion greens and serve over rice (see notes below for more healthy garnish ideas).