If you are looking for a non-sticky face oil, I recommend Sandawha Camellia Oil.
I have combination skin, so I absolutely avoided oils for fear of clogging my pores. However, as I get older, my oil-moisture balance seems to be off; my face feels oily on the outside but tight underneath, so I finally took the plunge and tried Sandawha Extra Virgin Camellia Face Oil! I heard that camellia oil absorbs quickly because its structure is similar to human sebum, and I was truly surprised. It absorbed completely the moment I applied it without feeling greasy or heavy at all. It doesn't feel slippery or heavy at all; it leaves just a subtle glow that looks so beautiful. If I mix it with my cream and apply it before bed, my skin feels incredibly smooth the next morning, like a peeled egg. If you dislike the stuffy feeling typical of oils, you absolutely have to try this!