Run a vegetable peeler along the length of each cucumber to produce long, thin green ribbons. You need about 3 to 4 ribbons per mummy.
Unwrap each cheese stick and lay it flat on a clean surface.
Wind a cucumber ribbon tightly around each cheese stick in a diagonal, overlapping slightly, leaving small gaps of white cheese visible. Secure the end with a tiny dab of cream cheese pressed against the stick.
Add one more ribbon wound in the opposite direction for a fuller bandage effect.
Dab two small dots of cream cheese near the top of the wrapped cheese stick and press one mini chocolate chip onto each dot to form the eyes.
Stand mummies upright on a board or lay flat on a platter. Serve within 1 hour.