It has long been recognized that cancer onset and progression represent a type of reversion to an ancestral quasi‐unicellular phenotype. This general concept has been refined into the atavistic model of cancer that attempts to provide a quantitative analysis and testable predictions based on genomic data. Over the past decade, support for the multicellular‐to‐unicellular reversion predicted by the atavism model has come from phylostratigraphy. Here, we propose that cancer onset and progression involve more than a one‐off multicellular‐to‐unicellular reversion, and are (...) better described as a series of reversionary transitions. We make new predictions based on the chronology of the unicellular‐eukaryote‐to‐multicellular‐eukaryote transition. We also make new predictions based on three other evolutionary transitions that occurred in our lineage: eukaryogenesis, oxidative phosphorylation and the transition to adaptive immunity. We propose several modifications to current phylostratigraphy to improve age resolution to test these predictions. Also see the video abstract here: https://youtu.be/3unEu5JYJrQ. (shrink)