Fx 8320 and bottleneck? No sir there won't be a bottleneck with this CPU.
Depends on the games he's playing. Anything using 3 cores or less will bottleneck hard. Games using 4 cores have a noticeable bottleneck typically, especially if made by Ubisoft, as they optimize aggressively for Nvidia+Intel. I've been posting links proving this all morning though, so forgive me for not going through the tedium a fifteenth time.