I don't mind eye make up remover to be oily, as I would remove my make up in the end of the day followed with face cleanser, serums etc.
I like that the oil based removers feel gentle on my skin around eye area. Make up came off very easily.
I might replace my previous eye make-up remover if I continue to like this :) as the one I used is also oil based but much more expensive.

I always compare every make-up remover product with my holly grail Neutrogena Oil Free make-up remover, and I have to say this product is quite comparable. There is no scent and it effortlessly removed my resistant waterproof mascara. There are no harsh ingredients (alcohol) in this product, which leaves a very soothing feeling on the skin.

Hmmm, I may have found a new holly grail product!