A Starduster is an alcoholic Ferengi drink.
When the replicators in Quark's malfunctioned in early 2369, Quark ordered an extra strong Starduster from a replicator in an unoccupied crew quarters so that he could serve it to a customer in the bar. (DS9: "Babel")
The Starduster is not to be confused with the Stardrifter.