Pepper-Jack Chicken with Succotash

4 ounces pepper-jack cheese, shredded

2 cups baby arugula, roughly chopped

2 large skinless, boneless chicken breasts (12 ounces each)

1 tablespoon olive oil, plus more for brushing

Kosher salt

1 1/2 to 2 tablespoons Cajun spice blend

Vegetable oil, for the grill

1 cup frozen lima beans, thawed

1 medium yellow summer squash, diced

2 cups corn kernels

1 cup grape tomatoes, halved

Juice of 1 lime

Directions

Combine the cheese and arugula in a bowl. Cut a deep 2-inch-wide pocket in the thickest part of each chicken breast with a paring knife. Stuff with the arugula mixture. Brush with olive oil and season with salt and the Cajun spice blend.

Preheat a grill to high and brush the grates with vegetable oil. Grill the chicken until blackened and a thermometer inserted into the thickest part registers 155 degrees F, 8 to 10 minutes per side. Transfer to a cutting board.

Meanwhile, heat 1 tablespoon olive oil in a skillet over high heat. Add the lima beans, squash and corn, season with salt and cook until the squash is just tender, 2 to 3 minutes. Add the tomatoes and cook 2 more minutes. Remove from the heat and stir in the lime juice. Slice the chicken and serve with the succotash.