CPU bottlenecking:
As said, depends on the program but I can give you an approximate estimate:
0% to 50% depending on the game. Probably closer to 25% average but it varies so much it's hard to say.
Other:
How did you overclock to 3.8GHz?
I ask because it already has a max Turbo of 4GHz. The min Turbo is probably near 3.8GHz already.
It's not clear if you actually OC'd already or not. If not, keep the above in mind. I'd probably spend a bit on a better CPU cooler and OC more if possible but the quality of the motherboard is important as well, and of course it raises the room temperature.
**Did you say up to 50% bottleneck???
You are full of it, friend... I says to myself... (though maybe I should have specified you can get up to 1.5X higher with a better CPU. I'll clarify below...)
THIS is just one example, and I can show worst cases:
http://techreport.com/review/28751/intel-core-i7-6700k-skylake-processor-reviewed/9
The FX-8370 (which is about 12% faster than the 8320e) is about 76% the performance.
If I adjust for the 12% to estimate the FX-8320e then we get the best CPU listed here getting a frame rate that is 1.45X here. Or 50% faster almost.