We have a mobile app using reagent 0.10.0 and I'd like to know how if it's old enough to have compatibility issues with more recent versions of React. Any chance there's a compatibility table somewhere I can check?
That's more of a question of the backwards compatibility of React. And AFAIK, nowadays React is almost backwards compatible.
Reagent itself has a bunch of test cases - you can try running them with your version of React.