Full support for MS Word 2016 is a very large umbrella term that needs to be clarified e.g. round-tripping document is our basic support for MS Word 2016 (and all MS Word versions) which is in place. There are other things to be checked as well e.g. drawing/graphics support. So if "official" announcement is a big expectation awaited, I am afraid, there are extra features added in MS Word 2016 that are not yet available in public API of Aspose.Words. However, as far as file formats are concerned, please check what supported formats are listed in the following page:
You can simply create a document using MS Word 2016 or Office 365 (web) and load/save it using Aspose.Words for .NET. If you find no errors/unexpected behaviors in Aspose.Words for .NET generated document (round-trip) then you can safely say yes Aspose.Words for .NET supports this Word editor etc. Hope, this helps.