Bas van dongen's answer pointed me in the right direction, although in my case it was the nvidia driver that was failing.
Then follow these instructions for reinstalling the nvidia driver on Jessie
jessie-backports to your
/etc/apt/sources.list, for example:
deb http://httpredir.debian.org/debian jessie-backports main contrib non-free
Install Linux headers for the kernel you are using.
For example, if you are using the 3.16 Linux kernel in Debian Jessie:
apt-get install linux-headers-$(uname -r|sed 's,[^-]*-[^-]*-,,')
Or if you are already using a Linux kernel from jessie-backports:
apt-get install -t jessie-backports linux-headers-$(uname -r|sed 's,[^-]*-[^-]*-,,')
Then we can install the package nvidia-driver.
apt-get install -t jessie-backports nvidia-driver
Restart your system to enable the nouveau blacklist.
See this bug report for more information