 Under the name Veil of Names, Cleaver released an album called "Adjust" on the Fresh Sound New Talent label in 2001.It featured Maneri, Ben Monder, Andrew Bishop, Craig Taborn and Reid Anderson and was a Best Debut Recording Nominee by the Jazz Journalists Association.Cleaver currently leads the groups Uncle June, Black Host, Violet Hour and NiMbNl as well as working as a sideman with many different artists.