Nice to hear that, With what graphic card would i7 3770k had bottleneck(RTX2080)?
3770k is a great CPU, but RTX2080 might be a bit an overkill.... Which is still fine, if You accept some performance drops on a CPU bound games or specific games locations.
That basically depends on two things:
1) resolution You play on -> the higher (2K/4K), the better for You, as it's using more of GPU resources to deliver better screen resolution. That means higher quality at the cost of lower fps.
In simplification: Your CPU will not struggle, providing 60 fps in 2K, but might not be able to deliver calculations for 144 fps at lower resolutions like 1080p with the same card.
2) specific game - each game is different. Some need more CPU, less GPU than the others. You'll be good, for example, in Witcher 3 at 2k max details, but You won't use Your GPU full potential at 1080p in GTA V.
Also, there are locations/situations in games, when You may need more CPU power than in a standard gameplay and Your CPU might bottleneck occasionaly there.
So....
If You want to play 1920x1080 at high framerates (like 144+), GTX 2080 might be too much and it won't provide You enough performance, because of CPU bottleneck.
However, at 2K/4K and 60-75 fps (with Vsync for example) You are just fine and good to go.