I have a fx-6300 with stock cooler stock overclock speeds, and my rpm in cpu fan with jump from 1k average to 300k + max being 675k rpm. This isn't dependent on what i'm doing, browsing youtube or playing overwatch still posts the jumps in rpm.
Imgur of HWMonitor - https://imgur.com/a/MDE1G
Imgur of HWMonitor - https://imgur.com/a/MDE1G