Melt butter in a large skillet over medium~high heat.
Add androuille sausage and cook, stirring occasionally, until lightly browned, 6 to 8 minutes.
Add corn, bell pepper, onion, thyme, salt and garlic. Cook, stirring occasionally until vegetables are softened, 6 to 8 minutes.
Add cream and cayenne; bring mixture to a boil over medium~high heat. Reduce heat to medium. Simmer, stirring occasionally until slightly thickened, 5 to 6 minutes.