Olive oil is very good for your skin, especially olive oil from Spain; it's the highest in polyphenols.
I have suffered with Acne
since I was 11 (am 39 now), and have gotten a lot of improvement since my fourth flush.
Actually, because extra virgin olive oil is so thick and heavy, I use safflower oil and ruby red grapefruits. It's a very pleasant, sweet, thing to consume.
But if you want to use extra virgin olive oil, it really shouldn't break you out at all.