I use avocado oil in the Morning Bouquet Facial Treatment for the special protection it gives the skin during the day. I have also begun using it as an astringent and as a make-up remover. I just put a few drops on a damp cotton ball and it wipes away the eye make-up without irritation. Indeed, avocado oil is a soothing way to both end and begin the day. From Superfood Profiles:

Cold pressed avocado oil is one of  the richest sources of beneficial monounsaturated fatty acids like oleic  acid. These fats are a great addition to your diet but can also have an  immediate effect on the texture and appearance of your skin.  

Not  only is avocado oil extremely good at hydrating and softening your  skin, is it also often recommended as an effective treatment for acne  and blackheads, eczema and other forms of skin inflammation. It has even been reported a beneficial for diminishing age spots and smoothing out fine lines and wrinkles. Of course it’s important to remember that individual results usually vary greatly depending on your skin type and other factors like good internal nutrition. That  said, if your skin is at all sensitive or problematic, it’s highly  beneficial to have one simple, natural oil to use as a face moisturizer,  rather than trying to work out which of two dozen different chemicals  might be causing your skin problems. (Read more.)

Med-Health goes into more detail. To quote: 

Here are some important nutrients in avocado oil:   

  • Protein and Fats. Avocado oil contains a high amount of  proteins and unsaturated fats, both of which are strong skin agents.  Avocado oil actually contains omega-3 fatty acids – those very same  fatty acids as found in fish oil. Thus, not only can this oil be used as  a beneficial lotion, but also as healthy cooking oil!  
  • Sterolin. Avocado oil is high in a substance called  sterolin, which studies have shown to facilitate the softening of the  skin and to reduce the incidence of age spots;  
  • Antioxidants. Avocado oil is rich in antioxidants,  making it useful for healing sun-damaged skin. Antioxidants like  vitamins A, D and E in avocado cause the skin to be suppler, and are  thus particularly good for dry or aged skin.  
  • Lecithin and Potassium. Avocado oil contains lecithin and potassium, which are all highly beneficial for the skin as well as the hair; 

Here are more health benefits of avocado oil:

  •  Moisturize the Skin. Avocado oil applied topically helps  relieve dry and itchy skin. Once applied, avocado oil is deeply absorbed  by the skin, thus making it an ideal moisturizer and skin care agent.  
  • Boost Scalp Health. In addition to helping clear scaly  skin, it can also relieve itchy scalp symptoms. Avocado oil, when  regularly applied to the scalp, can stimulate hair growth.  
  • Increase Collagen Production. When applied, avocado oil  increases the production of collagen, which helps keep the skin plump  and decreases the effects of aging.  
  • Treat Skin Conditions. Avocado oil is useful in the treatment of a variety of skin conditions, including eczema and psoriasis.  
  • Others. Avocado oil facilitates the healing of wounds and burns to the skin. It also helps to relieve and heal diaper rash. (Read more.)