Three discrete transitions were observed between the yrast superdeformed (SD) band and states of normal deformation (ND) in the nucleus Zr84. This is the first observation of such linking transitions in the mass-80 SD region. The properties of the decay out of the SD well in Zr84 are compared with those in other SD mass regions. Calculations suggest that there is extensive mixing of configurations in the SD and ND potential minima, leading to an abrupt and highly fragmented decay-out process. A study of least-action tunneling paths indicates that the potential barrier separating the SD and ND wells is very small.