As a happy 8150 owner, I'm guessing your 8350 will overheat, poop out on a few of the Prime 95 threads, and happily run for the duration of the time you let it on the remaining threads.
The only concern you may have is overstressing the power circuitry of your motherboard. Modern CPUs such as your 8350 are designed to run at their highest power draw for as little as possible, so manufacturers of motherboards sometimes cut corners on their power circuitry. Not the processor's fault, but some boards blow when stressed. Pays not to cut corners when you buy your motherboard, just as with your PSU. Some things you just need to be able to handle whatever stress you might subject them to without falling over.