Step 1In a food processor or blender, puree the anchovies, green onions, parsley, tarragon, vinegar and chives, or grind with a mortar and pestle to make a fairly smooth paste. Stir the mixture into the mayonnaise. Refrigerate tightly covered.
Step 1Bring water to a simmer in a double boiler. Slice the fingerlings in half lengthwise. If they are more than 3 inches long, cut them in half again crosswise. Steam, covered over medium heat until tender, 12 to 14 minutes. Transfer to a large mixing bowl and season with salt and tarragon vinegar. Toss to coat well and set aside at room temperature to cool.
Step 2In a medium saucepan, bring the white wine with 2 cups of water and herb trimmings to a simmer over high heat. Immediately reduce the heat to bring the contents to a gentle simmer, and simmer, covered, for 10 minutes to allow the contents to steep. Add the shrimp, cover tightly and simmer for 3 minutes before removing the pan from the heat. Let stand, covered, until the shrimp are firm but cooked through, about 15 minutes. Drain, peel and refrigerate in a tightly sealed bag or covered container.
Step 3Just before serving, add the shrimp to the potatoes. If the shrimp are large, they should be cut into bite-size pieces. Stir in the green goddess dressing. You won't use all of the recipe, so start with one-third cup, then add more dressing a tablespoon at a time until the shrimp and the potatoes are lightly napped, but not gloppy with mayonnaise. It will take about one-half cup total. Gently fold in the tomatoes, and sprinkle with snipped chives. Serve immediately or refrigerate, tightly covered, and bring to cool room temperature before serving.