I have tested My Note Games with the clarinet, but not as thoroughly is I would have liked. Nevertheless My Note Games works well for other reed instruments. and I am confident that it should do so for Clarinet. If there are any problems I should be able to fix them in future versions.
Treble clef notation for the Bb Clarinet (like the Trumpet) is pitched a whole tone below the piano. That means that a piano player and a Clarinet player, reading the same piece of music will play an whole tone apart. If a piano is playing a C then the Clarinet will be playing a Bb. My Note Games will adjust its tuning and notation accordingly when you select the instrument near the start of the application but be aware that you may run into problems if you have the wrong instrument selected.