Just one little correction: There is no k-version of the i3-3220 so you aren't going to be able to overclock.
Now then:
http://www.tomshardware.com/reviews/fx-4170-core-i3-3220-benchmarks,3314-6.html
http://www.futuremark.com/hardware/cpu/Intel+Core+i3-3220/games
As you can see, the i3 is capable of reaching good fps in all modern games, but will cause a bit of a bottleneck. An i5 with a GTX 760 would be a more balanced combo for gaming, but if you already have the i3, no need to upgrade just yet.