Anyhow, it appears that there is an inverse Leidenfrost self-propulsion, and a group of physicsts have managed to provide an explanation for it. the article describes both the Leidenfrost and inverse Leidenfrost propulsion, so you may read it for yourself. The research work, unfortunately, is currently available only via subscription. So you either need one for yourself, or log in to an organization that has site-wide access to it.
And look at the possible application for this seemingly mundane effect that grew out of a basic curiosity:
Gauthier’s team believe the effect could be used to develop efficient techniques for freezing and transporting biological materials including cells and proteins. With the help of simulations, they hope that this transport could occur with no risk of contamination or heat degradation to the materials.
 A. Gauthier et al. PNAS v.116, p.1174