Set a bowl of ice cold water in the sink. Put green beans and ¼ cup water in a large plastic freezer bag ¾ sealed. Microwave on high for 3 minutes and immediately drain and dump in a bowl of cold water for 15 minutes to stop cooking. Drain beans, pat dry, cut beans in half then put beans aside or refrigerate up-to 2 days.
Microwave the potatoes for 12 minutes with onion quarters, garlic cloves, tsp salt, and thyme added to ¼ water and potatoes in another plastic bag ¾ sealed. When done drain and leave in the colander until cooled to room temperature. Roughly crumble into a bowl until ready to assemble salad or put whole potatoes in refrigerator to use later.
Place eggs in a cold sauce pan, add water to cover by 1 inch, put on cover and bring to boil. When boiling point reached, lower heat to medium-high and set timer for 7 minutes. When time is up, transfer eggs to bowl of ice water to cool for a couple of minutes. Peel eggs and If using right away, cut in half from tip-to-tip. Refrigerate whole if using later.
To serve, add everything except the eggs to a big bowl. Toss with enough vinaigrette to lightly coat everything in salad. Season with salt and pepper then either serve in a big bowl or divide equally between serving bowls or small plates and garnish with eggs cut-side up.