My powercolour r9 270 is doing exactly the same thing as this video in some games. Like the screen does a jump / hiccup.
It does not do this on the desktop, regular apps or in Firefox both under windows 7 64 bit and Linux Xubuntu 14.04 LTS so I cannot see it being the cable or monitor.
Originally on 16.3 drivers and updated to 16.5.2 and both have this issue. The new 16.6.1 drivers still have this issue. Screen hiccup occurs most obviously in GameDev Tycoon which is a chrome based (ns.js / ns.exe driven) and also on the static pre scavenge screens in the game This War of Mine.
Also done a full clean install :- uninstalled fully, reboot safe mode, run ddu.exe, reboot, install new 16.6.1 drivers
skylake i7 6700
asus z170-k Latest Bios
powercolour r9 270 2048 gddr5
Graphics Card Manufacturer - Powered by AMD
Graphics Chipset - AMD Radeon (TM) R9 200 Series
Device ID - 6811
Vendor ID - 1002
SubSystem ID - 2337
SubSystem Vendor ID - 148C
Revision ID - 00
Bus Type - PCI Express 3.0
Current Bus Settings - PCI Express 3.0 x16
BIOS Version - 015.041.000.000
BIOS Part Number - 113-C6300100-X27
BIOS Date - 2013/11/24 21:16
Memory Size - 2048 MB
Memory Type - GDDR5
Memory Clock - 1400 MHz
Core Clock - 925 MHz
Total Memory Bandwidth - 179 GByte/s