Currently the ticket listener simply comments with "Automatically [opened/closed] by PHPUnit."
It would be helpful if the comment also included the name of the test, or at least the test class, that was responsible for the ticket being opened or closed.
At some future date it would also be nice to include a link to the Jenkins job that caused the ticket to change status. However that would require the ticket listener to be aware of Jenkins, which currently it is not (so that's a different ticket).