I have not developed a UWP port of LCM, but I have ported a couple networking-based libraries for use in UWP applications, and so might be able to provide some perspective. Overall, I don't see any fundamental reason why you would not be able to get LCM working for UWP, but it is unfortunately not a trivial process.
Basically, UWP applications cannot directly consume DLL files compiled for non-UWP applications, as they are based on a different .NET framework and libraries. The only way I've gotten this to work in the past is to actually set up a UWP dll project in visual studio, import the code I need to compile, and build the dll from there. This can then be referenced from a wrapper C# class that references that "managed" DLL. To make this work, I needed to make some manual modifications to the project files here.
An additional challenge is that some of the APIs differ slightly between UWP and non-UWP .NET frameworks. You will potentially have to make some slight changes to the LCM source code if you take the above approach.
One more caveat is that I have not been able to get networked communication to occur using the loopback address with UWP apps. In general, this isn't possible for applications published to the Windows store for "security reasons"; I've come across a developer setting that is said to enable this for testing of communication between UWP apps on the same PC, but did not have success with this.
I apologize I do not have more reference links right now -- if this port is something you want to move forward with, I can try to put together some more useful links and samples. I believe I could get you a small project with the basic setup of C#/interop/C++ code. Depending on your experience level with C++, UWP compilation and project modifications, and writing code from C# to call into C++ dlls, I'd guess this would probably take a week or two (assuming roughly full time) to get LCM added and working reasonably.
Hope this helps a bit -- I wish I had the time right now to put together this as an open source project to help out more.