Tested on my level 20 thief acrobat rogue.
Bug reported.
The cooldown for improved uncanny dodge is 2 minutes, which is not stated in the description.
Description also states 50% for improved uncanny dodge instead of 60% from the release notes.
The counter for improved uncanny dodge has been removed, but the thief acrobat prestige still grants increased uses of improved uncanny dodges.
I can imagine that thief acrobats will have an increased duration and/or a reduced cooldown for improved uncanny dodge in the future.