I've acquired this thing recently. It's solid wood and none of the parts move. The handle is firmly attached. It measures 14" tall. It comes with three different sized holes: 1-1/4", 1", and 7/8".
So far, my guesses are: misc. tool holder, tobacco pipe rack, communion cup holder, crochet needle holder, or shot glass flight tray. Any help would be greatly appreciated!
My guess would just be a pen holder, but surely it's more specialized than that.
That was my first guess too
that or a brush holder, which would explain the variable-size holes, since brush handle diameter can vary a lot. I did some image searches, but while I did find wooden holders, and for brushes variable-size holes, I couldn't find one that had a handle like OP's object. I don't think that one would normally pick up a pen holder.