To make the dressing, in a food processor, puree the cheese, yolk, mustard, lemon zest and juice, garlic, vinegar, Worcestershire, oil, tarragon, chives, and salt. Set aside.
To make the cheese crisps, heat the oven to 375° F. Line 2 rimmed baking sheets with silicone baking mats or parchment paper. Spoon six mounds of cheese (roughly 1 tablespoon each) onto each pan, spacing them evenly. Pat each mound into an even 3-inch round. Bake until each round is lacy and golden brown and no longer bubbles, 5 to 10 minutes. Remove the pans from the oven. The crisps will firm up as they cool in the pan.
To make the zucchini salad, use a mandolin fitted with the fine teeth, a julienne peeler, or a spiralizer to cut the zucchini lengthwise into long strips roughly the width of matchsticks (alternately, simply slice them as thinly and evenly as you can—even small-diced zucchini are good here). Place in a large bowl and toss with the salt and pepper. Let sit for 5 minutes. Pour half of the dressing over the zucchini and toss to coat. Add more dressing as desired. Let sit for 3 minutes. Note that the longer you let it sit, the thinner the dressing will become as moisture is drawn from the zucchini, so don’t let it sit longer.
To serve, divide the salad among 6 plates. Place 2 crisps on each plate, garnish with more chives, and serve immediately.
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