This question, with the official release of Windows 10 is quickly turning into "this is my personal experience type of wiki".
Right now, today, the most current versions of ArcGIS for Desktop (ArcMap 10.3.1 and ArcGIS Pro 1.1), are not supported on Windows 10.
Historically Esri has introduced support for a new OS with the next release of a product AFTER the OS in question has officially released. That means work is underway for ArcMap-10.4 and ArcGIS Pro-1.2 (the next releases) to officially support Windows 10.
Of course older versions may (and probably will) work on the newer OS, but no official support mechanisms will exist if a problem does arise.
I'm actually voting to close this question as its clear to some degree it works. Unless theres a specific issue that comes up and can be asked as a specific question, further "yes, it works for me" answers aren't helpful.