I had this beep and a stutter in mouse movement
The beeps would gradually go away after working for a while.

Expert advice was that it was caused by two programs interacting but somehow didn't...

Just to add to this mystery, I have the exact same problem with two additional pieces of info.
These hiccups eventually slow down and stop after I've been working for a while.
I occasionally get a...

ANotehr issue with graphics driver

I suspected that a driver had somehow gotten corrupted and when Win reinstalled a driver, it installed the one I had on the system because it was the 'correct'...

Me, too.
Built myself, using Gigabyte Mobo, etc., I7, 12 GB RAM
Ran on Win 7 for years.
Tried disabling the hybrid sleep option and that didn't improve anything.