Not true, not true at all. It's not as easy to review on Android maybe but I'm doing it right now. The courses, and lessons completed have a big check mark on them. Just click on it. OK I clicked on that blue bar that popped up and went on a wild goose chase but hit the back button and you're good to go. The browser version's even easier with big lists you can choose from. Don't be afraid to click around and experiment.
Chess Mentor - Can't Review Completed Lessons
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Android Chess.com App
Samsung Galaxy Note 8 Tablet, Android v4.4.2
PROBLEM
When I try to rework lessons I've already completed, the app won't let me. Is there a way to do this? Is there a reason you designed it this way? I don't want to earn the points again, I just want to review. (Have not been using the website version, or my Galaxy S4 phone, yet.)
Update: On the Note 8, some lessons get repeated but start in the middle or end, and don't ever show as completed in the Lesson list (blue text never turns gray.) For example, "Intermediate > Using Bishops" does not show as compleded, but when I play it again, it shows only the last move. Then it jumps back to "Intermediate > Introduction to Strategy" and that never shows as completed either. Other random strange behavior, as well. Needs some better test & QA.