That looks like one of my test-tube storage racks, only made of wood instead of wire.
Interesting idea.
Wish I still had mine! I liked to use them as a centerpiece with a single flower stem in each test tube. Country Cute!
Bought them for a song at that UW overstock store between Verona and Oregon - can't remember the name, but we'd go there on Fridays and find all sorts of TREASURES!