No it is not enough to keep it cool, If was the older CPU not the FX range it would be fine, If you intend to be playing games your CPU will crash your system from over heating and shut down(power off) causing problems for window's and your computer,
Get your self a better cooler that is not the stock that comes with the CPU, The kind's of damage you could do are smoking your CPU, the chip set,Killing your system altogether, I would get the below cooler,
A aftermarket cooler can cost up to $150 for the best in water cooling but you won't need to spend more than $25
Try the Cooler Master Hyper 212 EVO this is cheap and works good,
When my cooler was not working and only running my CPU on stock speed's it was shutting down my system every time I wanted to play a game, No matter if it was a low GFX game or a high end, If it's something like COD or BF3 you might get a full 5 mins of playing be for your system shuts down (Powering off causing the problems)
AMD-FX should really look into adding a better stock cooler as it will not cut what the CPU need's