Why did I not discover this years ago!?
My skin has always been on the verge of a hissy fit. Some products it rejects outright and some it tolerates for a short while before deciding that "skin says no".
It has driven me mad over the years and had become very sensitive this spring. Everything I did, from wearing a mask to work, to being slightly warm, to having a glass of wine to sleeping with my face touching my pillow was making my cheeks and the skin down towards my jawline irritated. Think red and sore and bumpy and depressing. I had had to stop using any products so it wasn't that something like that was causing the irritation. It was just being in the world!
Anyway, I got a notion to try an oil to see if that might help the situation. So I bought 100ml of cold pressed jojoba oil.
I've been using it as a cleanser - apply a layer, then warm face cloth to remove - and then I damp my skin slightly with tapwater and rub a few drops of the oil in as a moisturiser. I've been doing this for about 6 weeks now.
The difference is amazing. My skin is comfortable for the first time in ages. It looks so much better. All the irritation has disappeared and I feel much more confident and comfortable. I could see a change within 48 hours.
I just wish I'd known ages ago! So I wanted to let anyone else with annoying skin know that it could be a great option for them. It's cheap (I got 100ml for €8) and it won't get discontinued 
Hope it helps somebody else. It is the best thing ever as far as I'm concerned.