Heat oil in a large saucepan over medium heat. Add garlic; cook and stir until fragrant, about 2 minutes. Reduce heat if garlic begins to brown. Add green beans, then continue to cook and stir until bright green but not quite tender, about 4 minutes.
Mix in tomatoes, half the tomato juice, lemon juice and pine nuts, and season with chives, bay leaf, salt and pepper. Bring to a boil, stirring often. Reduce heat and simmer gently uncovered for 25 to 30 minutes. Add more tomato juice as required. Remove and discard bay leaf before serving.