Zib's band has been a standard at Lackadaisy since before Atlas was killed and Lackadaisy went into decline. As of "Hallelujah", in which the band first appears, current members include Zib on saxophone, Rocky on violin, a pianist named Mozzie, an unnamed upright bass player and an additional musician whose instrument is not revealed.
Zib seems to take care of his musicians to some degree, as in "Hallelujah" he asks Mitzi whether he should be using his pay to purchase train tickets for them.
With Rocky and Zib in the lead, the band approaches the garage via the trapdoor in "Blindside". When they realize there is a firefight in progress between Viktor and the pig farmers, the group retreats with the farmers in pursuit. They almost run over Ivy and Freckle as they return to Lackadaisy in "Wishy-washy".