In a medium bowl, whisk together oil, vinegar, honey, mustard and garlic. Season with salt and pepper. Add tomatoes and toss well to coat. Let stand for 10 minutes.
Place arugula in a large bowl. Spoon out the tomatoes from the dressing, add to the arugula and toss lightly. Gradually add dressing to the mixture, until the arugula is lightly dressed. Top with shaved asiago cheese, if desired.
Recipe by Salu Salo Recipes at https://salu-salo.com/arugula-and-tomato-salad/