Notify when the upstream commit/merge that you built on top of is failing.
Repos have different policies concerning the master branch. It seems that many repos now use master as just another staging branch and if you fetch from the upstream master then build on top of it - you basically pulled in a stale/failing version. Maybe you can mitigate this by informing the user that they are working off a failing commit/merge to begin with.
It would be an added benefit if you could integrate this also into the command line utility.
$ travis check upstream
The command could check the upstream commit and see if it is passing and maybe suggest a new base for a passing commit/merge.
Extra points if you print out the git command that will rebase - so we can just copy and paste.