I was teaching a class today and all of them belong to the oily and sensitive type of skin. A lady raised the question about smudging eyeliner. My suggestions (depending on which works for you):

1) Waterproof pencil liner + Waterproof Liquid liner (Might be tough to wash off)

2) Eye-shadow base (foundation for the eye) + your liners

3) Waterproof liner + Dark eyeshadow colour go over it

4) Waterproof liner + face powder + same Waterproof liner

I guess most importantly is to not prep your upper eyelid with any creams (but it’s fine for under the eye because we want to moisturise the fine lines). Any eyeshadow colours or liners would just slide off after all the effort. Also when you have oily skin, there is a need to touch up your makeup more often. All the best!