In a blender, combine cheese, vinegar, lime juice, mustard, salt and pepper; puree until smooth. With the machine running, add oils through the feed tube in a slow, steady stream to emulsify.
Bring a pot of water to a boil. Fill a large bowl with ice and water. Generously salt the boiling water; add snap peas. Cook just until bright green, about 30seconds.
Drain, transfer to ice water and let stand for 1 minute; drain again. Slice very thinly at an angle. Toss snap peas and endive with dressing in a bowl. Top with herbs.