I am pleased to report that the HDHomerun addon that SiliconDust has been maintaining works perfectly with LibreELEC.
As of August 31 2016, version 2016.07.15 of the addon works perfectly on LibreELEC 7.0.2.
To review, the HDHomerun addon allows users to stream live TV from a SiliconDust HDHomeRun device on their network. DVR functionality is also available when using a seperate HDHomeRun_Record engine.
The HDHomeRun addon can be installed from the official Kodi repository, or by following the instructions here. Any support issues can be directed towards SiliconDust's Support Forum.