I can't stop applying this Précision Cuticle Oil at the moment... I carry it around with me everywhere. From memory (threw away the box long ago), the ingredients are just safflower oil, Vitamin E and kiwi fruit extract.. and it smells really fruity.
My cuticles sometimes get a bit dry and sore for no reason (perhaps times of sluggish immune system?) so I'm using this to keep my cuticles and the base of my nails healthy. It comes with a standard nail polish style brush, so it literally takes seconds to apply (which is why it's so addictive).
This was a PR sample I got ages ago, but it's available to buy online from parksideprecision.com for £5.99.