In the early 1980s, Hendryx fronted her own progressive art rock group, Zero Cool, which included guitarist Naux (China Shop, Richard Hell), bassist Michael Allison (Darshan Ambient), guitarist Kevin Fullen and drummer Jimmy Allington. Simultaneously, she sang with experimental funk group Material, achieving a giant club hit with "Busting Out." She had two other major club hits soon after: a dance remake of The Supremes' "Love Is Like an Itching in My Heart," and, in a lead vocal guest spot for the Cage, "Do What You Wanna Do." Material also produced her second album "Nona" in 1983. The hip, contemporary dance sound of this album proved to be more charts-compatible, with the disco music times, and the single "Keep It Confidential" becoming a modest R&B hit written by Ellie Greenwich, Jeff Kent, Ellen Foley, and a remix of "B-boys" finding major success on the dance charts. "Transformation" became a Hendryx staple, and later was covered by Fierce Ruling Diva. Another particularly noteworthy track on the album is the ballad "Design for Living," which featured guests Laurie Anderson, Gina Shock of The Go-Go's, Valerie Simpson of Ashford & Simpson, Tina Weymouth of Tom Tom Club and Talking Heads, Nancy Wilson of Heart, and former bandmate Patti LaBelle.