Heat oil in a medium size skillet over medium high heat. Add chicken cutlets and cook for approximately 2 minutes per side until golden. Remove from pan and cover with foil. To the hot pan add wine and lemon juice, scraping any bits up from the bottom of the pan. Allow to simmer and reduce until syrupy and reduced to about 1 tbsp, approximately 2-2 1/2 minutes. Allow to cool for 1-2 minutes and using a rubber spatula scrape into mayonnaise. Stir to combine.