If you have problems with breaking out, then I would NOT use regular or virgin coconut oil on your face.
*For even more confusion*
Fractionated coconut oil, aka caprylic/capric triglyceride oil, has undergone processing and is normally fine for problematic skin. It's much lighter and has a 'drier' feel to it as well. This oil isn't normally found in stores, and will need to be bought online, but it is quite lovely.