Over medium heat, bring a pot of water to a boil. Add the salt and green beans. Cook until slightly tender, about 2-3 minutes. Drain and run under cold water to stop the cooking process and cool the beans.
To make the dressing, combine the olive oil, lemon juice, vinegar, garlic, Dijon, and dill in a bowl. Whisk until well combined.
Add the cooled beans, cherry tomatoes, and chickpeas to a serving dish. Drizzle on the dressing. Sprinkle on the feta cheese. Season with salt and pepper.