On compound clips, when you double click, you're taken to the exact spot where you were in the project. Yay! But when you exit, it doesn't move you to the new location from within the compound clip. If you were to move the playhead in the compound clip, for example, it doesn't move the playhead in the project. AE does function this way. It's very convenient.
And was checkerboard transparency view always available? I just noticed that in the playback settings.