I have no idea how easy it would be to implement but it would be a great help for lots of people.
Many characters how certain halfway logical ways they are put together. A lot of it has to do with the radicals and other parts determine the pronunciation. I know that it is like that from my wife but because I haven't really had any formal Chinese classes I don't really know them and it probably would make my life a lot easier if I did :)
Obviously I could (and I am for a matter of fact) go through the radicals and will then see them being part of other characters I am studying but that's only of the story and it's not quite the same as if one sees the make-up of each character as one learns it. I don't know whether it would be a good idea to just have an additional window next the writing one where one gets that sort of background information or whether it is even something one would like to test (as in first write it, then the tone, then the part which is the deciding radical for the meaning/pronunciation...). I also don't know whether you would want to use the users to put together the information on the various characters (the character radicals are probably easier to do automatically...but the other stuff like the meaning within the characters or the the pronunciation...)
As I said...just an idea and I have no idea how easy it would be to implement. It would make my life a lot easier, though.