Microwave lime in a small bowl for about 30 seconds to release essential oils, and set aside until it is just cool enough to handle. Prepare salsa by combining tomatoes, onion, bell pepper, mango, parsley, serrano pepper, and garlic. When the lime is just cooled down enough to handle, cut it in half, remove any seeds and squeeze the lime juice into the salsa. Season with salt and pepper, stir to combine and set aside.
Blanch the green beans for about 2 minutes in salted water, drain and let cool.
Prepare the dressing. Through the feed opening of a running blender add, 1 at a time, rice wine vinegar, ground ginger, garlic and parsley until a smooth paste forms. Leaving the blender running, add the olive oil in a slow stream through the feed opening. Season with salt and freshly ground black pepper, to taste.
Gently fold the cooled green beans with the salsa, radishes, tomatoes, and red onion. Use enough of the dressing to coat, but do not feel compelled to use all of the dressing. You can serve the rest of the dressing on the side.