Fill a large pot with 1 inch of water and fit with a steamer basket; bring the water to a boil. Place the beans in the basket, cover, and steam until tender, 4 to 5 minutes; run under cold water to cool. Repeat with the potatoes, steaming until tender, 10 to 12 minutes.
Meanwhile, place the eggs in a large saucepan and add enough cold water to cover them by 1 inch. Bring to a boil. Remove from heat, cover saucepan, and let stand for 12 minutes. Drain the eggs and run under cold water to cool. Peel and halve the eggs.
Divide the greens among plates and top with the beans, potatoes, eggs, chicken, onion and olives. Drizzle with the vinaigrette.
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