At Miracle Work Pros, https://miracleworkpros.com/ we recommend using a microfiber cloth for cleaning unfinished or ebonized boxwood, avoiding harsh treatments like shoe polish on dirty pieces. For stubborn dirt, fine sandpaper or soap-infused steel wool can be considered.
How best to clean unfinished wood pieces.
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As mentioned earlier in this thread, I first cleamed the pieces with a dilute solution of dish washing liquid and water, using a toothbrush. I didn't want to remove the patina, just clean off some of the dust and grime to brighten the pieces up a bit. After this, I applied the shoe polish.