Dressing:

In a small bowl, whisk together the olive oil and lemon juice until combined. Season with salt and pepper, to taste.

Salad:

Using a small paring knife, remove the outer leaves from the Brussels sprouts. Reserve the cores for another use. Bring a large saucepan of water to a boil over medium-high heat. Add the Brussels sprout leaves and cook for 1 minute. Drain and put in a bowl of iced water, then transfer to a colander to drain. Put the Brussels sprout leaves, arugula, endive, and almonds into a large salad bowl. Add the dressing and toss together. Sprinkle with the cheese and serve.