We're currently running twisted 14.0.2, which is quite old. There's a newer version available in jessie-backports, 16.2.0.
A preliminary pybal test of the newer version on pybal-test2001 gave encouraging results: pybal seems to work fine there. However, @Joe mentioned that minor issues with twisted upgrades have happened in the past. We should thus test the upgrade with care, including checking that all different types of pybal checks work as expected.