Tried my hand at similar a while back, but for pen cases, and tried to marry 3D printed threads with wood as the threads kept breaking out with the exception of large walled cylinders and grain consideration, The only problem was that I could only fit a credit card pen in them,
At least from your idea, I could now repurpose them after scraping years worth of dust off.
If your first cut is too short... Take the second cut from the longer end... LBD