My Grannie told me to lotion up and wear rubber gloves while sleeping to help my dry hands. I only did once, but I am now adamant about keeping my hands moisturized and covered during the winter work weeks. My job is messy so I don't mind at all.
I will keep that oil in mind if it ever gets out of hand again.
Maybe they wish to get rid of said individual by disassociating from them. Both parties should part ways.