I am using a MacBook Pro with an iPhone and the USB cable that came with this iPhone, and what I did to get around this was to open iTunes preferences, go to "Devices", and check the "Prevent iPods, iPhones, and iPads from syncing automatically" checkbox. I then connected the iPhone to the MacBook and the iPhone stopped buzzing and I was able to import the photos from the iPhone to the MacBook.
Then, I went back and unchecked the "Prevent iPods, iPhones, and iPads from syncing automatically" checkbox, reconnected the iPhone, and I didn't get the buzzing. Now I am sync'ing the iPhone to iTunes since I had previously removed all iPhone backups within iTunes, which had no impact on the buzzing and which I do not suggest doing at this point.
I know this isn't a fix, but the real fix is that Apple has some screws loose in iTunes that they need to tighten.
If the buzzing returns, then I will again check the "Prevent iPods, iPhones, and iPads from syncing automatically" checkbox within iTunes again, and try renaming the iPhone within iTunes.