1. Whisk vinegar, shallot, honey, mayonnaise, 1/4 teaspoon salt, and 1/4 teaspoon pepper in nonreactive bowl until mixture appears milky and no lumps remain. Whisking constantly, slowly drizzle in oil. (Dressing should appear homogeneous, glossy, and slightly thickened, without any pools of oil on surface.)

2. Gently toss avocados, 2 tablespoons dressing, and 1/2 teaspoon salt in bowl. Transfer avocados to large platter or individual plates.

3. Toss apple, endive, and chives with remaining dressing. Spoon apple mixture over avocados and sprinkle with blue cheese. Serve immediately.

Serves 6