Place the arugula in a large bowl. Add half of the tomatoes, half of the burrata, and half of the basil.
Make the dressing: In a small bowl or liquid measuring cup with a spout, stir together the olive oil, lemon juice, salt, and pepper. Spoon lightly over the top of the salad, then toss to combine—you want everything to have a very light coating; about 3 tablespoons should do it.
Scatter the remaining tomatoes, burrata, and basil over the top. Drizzle with the balsamic glaze. Serve immediately, with additional salt and pepper and dressing taste.
Notes
To make balsamic glaze: In a small saucepan, combine 1/2 cup balsamic vinegar and 1 tablespoon honey. Gently simmer over medium-low heat until thickened and reduced by a little more than half, about 15 minutes, stirring occasionally. Remove from heat and set aside to cool. You'll have a little extra (YUM!)
TO STORE: Refrigerate leftovers in an airtight container for up to 2 days. I don’t recommend purposely making this salad in advance to serve later.
TO FREEZE: This is not a recipe that freezes well. Enjoy it fresh!