Suzana Clark wrote, " ...  The compartments that open are shaped to
hold a lipstick sized object."

This sounds very much like a cigarette dispenser, and a nice one. In
the 1950's and 60's several companies made these. I have a much more
common one made from plastic which plays "Smoke Gets In Your Eyes."

Bob Conant

P.S.:  There should be no question about Larry Greenfield's discussion
of his cylinder music box. This is very much on target for the digest
and some time ago there were requests for discussion on the subject of
music boxes.