Most of the teams I've talked to have been automating more and more tests in Jenkins... and then struggling to manage all those results, especially across different Jenkins jobs.
The team at XebiaLabs developed the XL TestView plugin that allows you to send all the results of the relevant test jobs to a central location. From this location, you can display the results in a configurable dashboard, set the quality metrics and ultimately automate go/no go recommendations. You can do this across different test jobs and take valuable history into account.
Install the XL TestView plugin, add it as a post-build activity to your existing Jenkins jobs and specify how to collect the results in XL TestView.
Note: You do need to install XL TestView as well; there is a free version here.