Heat olive oil and butter in a large skillet over medium heat. Add the shrimp, season with salt and pepper, and sauté for 3 minutes per side, or until they turn pink and are cooked through. Remove the shrimp from the pan and set aside.
In the same skillet, add the minced garlic and cook for 2 minutes until fragrant. Be careful not to burn the garlic.
Pour in the honey, soy sauce, and rice vinegar. Stir well, allowing the sauce to simmer and thicken for about 3 minutes.
Return the shrimp to the skillet and toss them in the honey-garlic sauce, cooking for another 2 minutes, until the shrimp are evenly coated and the sauce has thickened.
Garnish with sesame oil and serve immediately over rice, noodles, or as is.