In a medium cast-iron skillet, whisk together whole wheat flour and oil over medium heat. Cook, stirring constantly, until a dark roux forms, about 20 minutes. Add mirliton; cook for 2 to 3 minutes. Remove from heat; let cool for 10 minutes.
In a large deep cast-iron skillet, pour oil to a depth of 2 inches, and heat over medium heat until a deep-fry thermometer registers 350°.
In a small bowl, whisk together cornmeal, all-purpose flour, and Jerk Spice. Working in batches, dredge oysters in cornmeal mixture until well coated, shaking off excess. Place oysters in hot oil, and fry until golden brown, 1 to 2 minutes per side. Let drain on paper towels; keep warm.
In the container of a blender, pulse together mirliton mixture, 6 fried oysters, cream, lemon juice, salt, and Worcestershire until puréed. Return mixture to medium skillet; heat until warmed and thickened.
To serve, place Lemon Vinaigrette Rice on serving plates. Top with oyster gravy and fried oysters. Serve with lemon wedges, and garnish with chives, if desired.
Notes
Mirliton is also known as chayote squash.
Recipe by Southern Cast Iron at https://southerncastiron.com/fried-gulf-oysters-oyster-gravy/