Yes we do keep those shavings. As a side to my regular day job, I am an arborist, and I work with a furniture designer to save beautiful trees that needed to be cut from being turned into firewood. We try to give the wood a second life, from the garden to the living room so to say.
We mill good tree trunks, dry the wood and customize the furniture to the client's desires, keeping control of the entire process from tree to table.
All the pure (uncontaminated) shavings from the cabinet-making work, we save for smoking. We have lots of sweet cherry, birch, walnut and beech shavings, and plum will be a tasty addition.
But I'm sure to make a number of bows out of this wood!