Add the mayo, dill weed, white pepper and sliced green onions to the Cream Cheese. Mix with your mixer, set aside.
Wash and clean the cucumber and slice in thin slices. A handy gadget is a cheese slicer, if you don't have that use the mandolin.
Spread some butter on both slices of bread, top with the Cream Cheese mixture. Top with the sliced cucumber. Then cut the crust of and slice the sandwiches in strips.