Place yolks, lemon juice, garlic, honey, salt,and chipotle in small food processor or use vessel that will work with an immersion blender.
With processor or blender running, slowly pour in oil. Process until aioli forms and thickens, about a minute.
Place into a plastic bag with a place corner cut. Using the bag like a pastry bag, drizzle the aioli over mushrooms. You can reserve the remaining aioli for added dipping if desired.