The Eve community are known for their ability to brain storm and meta game around all problems that face them, and the new problem of jump fatigue is no different. A forum post on the Kadeshi forums first alerted us to this exploit. While we have been unable to test it ourselves there is a growing number of people claiming to be using this exact exploit to move their capitals long distances without having to worry about the effects of fatigue.
The rumoured exploit as can be seen above, is that by jump cloning you remove all current fatigue, thus finding away around hours of jump fatigue penalties. Whether or not this is an exploit or working as intended we have yet to see. We do not know if CCP is currently aware of this and if they have any plan of changing it.