nope. that fx8320e will probably reach the exact same overclocks the 8350 will... AMD doesn't really bin it's chips with "max overclock" in mind. it bins based on something called "power leak". chips like the 9370 or 9590 are "high leak" chips, meaning they typically need more voltage to achieve a higher clock speed, but they also run cooler then a normal or low leak chip will at those same voltages. high leak and low leak amd cpus tend to hit the highest clocks, it's the normal leak chips that are the poor overclockers. the 8320/8320e tend to be low leak chips. so yes, you'll see some bad overclockers in the 8320/8320e or even the 8300 lineup of cpus, but you'll see just as many good overclockers as you would with a 8350.
take a gander at my sig, that was with an 8320. most 8 core fx cpus, regardless of their number designation couldn't dream of hitting 5.3ghz, I was lucky with that 8320, it's a "very" low leak chip; which was 100% stable with stock vcore and overclocked up to 4.6ghz. That said, that chip was very hard to cool over 1.45V core
I will caution you about one thing. if you're buying an AMD cpu, you pretty much should always OVERCLOCK. If you plan to run these at stock, i suggest you buy an intel i3. It will be much better for you. overclocks of 4.4ghz are necessary to hit 60fps in pretty much every game in 1080p; while overclocks of 4.7ghz are required to make the normal operation of your pc "feel" as snappy as an intel.
so if you don't plan to overclock get an i3.