Easy inexpensive LED lights to wear

Step 4 Optional arrangement

Instead of using the metal binder clip to complete the circuit, the two batteries can be brought together by folding the masking tape.  The positive and negative ends need to be pressed together.  The binder clip is still used.  It presses the part together since the tape is not typical strong enough to hold the parts tight together.
With this option the layers are:
outside of clip
masking tape
one LED lead
one battery
second battery
second LED lead
masking tape
other side of clip

Note the batteries need to placed so a positive side presses against the other's negative side.