Using your hands, rip the butter lettuce leaves to bite size pieces and place them evenly on a large platter.
Using a peeler, shave the cucumber tip to tip to create ribbons and spread all over on top of the leaves.
Cut the avocado into small cubes or slices and layer them on top of the cucumbers.
Combine the dressing ingredients in a jar. Add to the jar 1/4 cup of the chopped walnuts and mix well.
Drizzle the dressing evenly all over the platter just before serving and finish with the remaining walnuts as garnish.