If the height or composition of your chimney is your concern, then consider that the final output of a rocket stove is much cooler and much less laden with combustibles than the output of a standard wood stove. This means that the composition of your chimney is probably fine as is, however you might consider that such a tall stack may make it hard to get a draft started. Once it gets going, it should work well, though.
Cheers.
JD