This add-on uses the rhino3dm.py module
(https://github.com/mcneel/rhino3dm) to read in 3dm files.
This code is currently being written directly for Blender 2.80, even though it is still pre-beta. In general the latest 2.80 build for your platform from Blender Builder should be fine.
The latest rhino3dm.py module is also required. It may be that sometimes master of import_3dm is required, but not yet uploaded to PyPi. If you want to keep up-to-date the best bet is to build rhino3dm.py from source.
When both import_3dm and rhino3dm.py are becoming more stable we'll start tagging this repository and putting up proper releases.
Until then things can, and will, break.