I know the 114th Pennsylvania "Collis Zouaves", 5th New York "Duryee Zouaves", 165th New York "2nd Battalion Duryee Zouaves", and 8th Missouri "American Zouaves" all continued to wear their Zouave uniforms or at least elements of them throughout the war or up until they were mustered out of service.
The 140th and 146th New York and 155th Pennsylvania - the Zouave Brigade in the AoP - were all issued Zouave uniforms half way through the war due to their proficiency at drill and continued to wear them until the end of the war.
Often if they couldn't be supplied throughout their service then the uniforms quickly wore out with campaigning and were replaced with the standard government issue. I don't believe I've ever heard of a regiment throwing their Zouave uniforms away fallowing their first combat experience. Usually they were worn with a sense of pride and not all were so red and flashy.