We have been using OFFICE 2016 with 14.2 for a long time without any issues, BUT we stayed on MSP 2010
I started testing MSP 2016 with 14.3, 14.4 and up to 15.1. You need the new connector installed, but we had so many issues with it, we could never migrate it to it. Keep in mind we have a business group with unique operations. If you just do standard schedules and use Fixed units for example, you might be fine.
The trick is that if you use Office 365 then Microsoft may tell you that you cannot use 2010 with Office 2016. We did (do) but had to somewhat override the system to allow users to download 2010 if they use Clarity.
Given the new connector has code in place specifically for MSP, I would not recommend using it if it is not supported. Keep in mind Microsoft pushes out updates and if your company pushes updates out automatically, then you will run into issues. It wasn't until later where CA's code started keeping up with MSP updates.
...Hope that made sense