Preheat an oven to 400ºF and heat a large skillet over medium-high heat with olive oil. Add the quartered radishes and cook for 5-6 minutes, stirring occasionally, until the radishes begin to soften and turn golden.

Push the radishes to one side of the pan and add the ground chicken. Press the chicken flat and brown both sides before mincing and fully cooking, about 5-6 minutes total.

Add the brown sugar and spices to the cooked chicken, stirring everything together, before adding the milk. Continue cooking/stirring until the milk has reduced to a thicker sauce that leaves a trail when you drag a spatula across the bottom of the pan, about 4-5 minutes.

Create 4 wells in the skillet before adding the eggs. Top with the cheddar and bake for 8-10 minutes depending on how you like your eggs.