For those who just can’t wait to get Android Lollipop on their Nexus 4 XDA developer user flithydelphia has managed to port the enhanced version of the 81c developer preview that Google release on the Nexus 6 “It offers a permissive selinux policy, aosp merged in and rock solid stability along with drastic improvements in speed and smoothness”.
Currently the only issue is that the mobile radio doesn’t work and of course the bugs that the software contains. This following things do work with the port: New homescreen, App Drawer, New Messenger app, New Gmail app, Google Fit, New play music app and Play Books. You can check out some screenshots here. Here is a guide on How to install Android 5.0 Lollipop Developer Preview Nexus 4