I put in a bug regarding this earlier and there was a fix, but the fix only fixed the display, not the underlying issue: http://www.glitch.com/forum/bugs/16032/
When you unlearn a partially learned skill the time it takes to unlearn it decreases rather than increases as you learn more of the skill. For example, if you start learning bureaucratic arts and then quickly go to unlearn it, it will tell you that it will only need a few seconds to unlearn. When you choose to unlearn, however, it actually takes nearly two minutes.
The displayed time to unlearn has been corrected, but the actual time to unlearn remains inverted.