I have re-translated some sections in 'Page' view, then - without reloading the page - switched to 'Review' mode: my new translations appeared for me as reviewable. The review button works on these sections (it creates a log entry on Special:Contributions). Reloading the page (F5) removed the option to review my own translations.
I have ran into this while working on meta:Template:Steward confirmations/hu. See the edit and the corresponding log entry. (If necessary, I can send screenshots.)