I have the same issue. I just got a brand new Surface Pro on Friday, January 4, 2019. Fortunately I was able to quickly identify the problem as occurring only when the device is plugged in. I'm using
the adapter from a late 2017 Surface Pro. I will try using the adapter that came with this new device and update. But it is absolutely clear that the problem only happens when plugged in.
UPDATE:
Using the brand new Surface Pro 2019 adapter versus the previous adapter makes no difference.
It works fine at my house and only happens when I plug into certain outlets. There is a power outlet at the local skating rink that consistently causes the cursor to freeze when I plug into it.
This tells me either the electricity on the line is dirty, or there is a lot of electromagnetic interference in the air at this rink that is being caught by the power cable and adapter. As a next step, I have purchased a "Greenwave Dirty Electricity Filter"
from Amazon for $30. I should get it this week, and I will try to check it next Saturday, January 19, at the rink, and give a further update. If it solves the problem, then I can definitively say the freeze-ups that I, at least, am experiencing, are caused
by plugging into dirty electricity.
Larry