Ok, this thread has been dead for 8 years now, but Resonance is on Spring Sales at the moment so other people might come across this issue with 4k screens. No need to respond to this, I just write it in case someone else has this problem.
I have HDMI connection to my 4k TV and this game blinks like the HDMI cable would be badly connected. Since no other game (including other Wadjet Eye games) does that, I was thinking it's probably resolution related. In the game folder I found the Winsetup.exe and it shows the resolution is 1280x800 and cannot be changed and filter is 4x. I tried windowed mode and that worked fine. No blinking.
Then I noticed this sentence:
Also, there is a problem in playing with Direct 3D 9 mode activated, instead of Direct Draw 5?
I tried to switch to Direct Draw 5 instead of the default Direct 3D 9 and full screen worked without blinking. Something to do with my TV not liking Direct 3D 9, I guess. So if you have the same issue, try the other driver.
tl;dr if the picture is blinking on your 4k TV, try to switch to Direct Draw 5.