Make the dressing: In a small mixing bowl whisk together olive oil, lemon juice, honey and season with salt and pepper to taste. Chill for 15 minutes if time allows.
To assemble salad: Toss the arugula with about 2/3 of the dressing then on a serving platter or individual salad plates layer half the arugula, half the almonds, half the cranberries and half the parmesan.
Repeat layering then drizzle with remaining 1/3 of the dressing. Serve right away.