Place twenty 8-inch wooden skewers in water to soak. Heat grill to medium-high.
In a small bowl, combine the ketchup, honey, and Worcestershire sauce. Set aside.
Slice the chicken lengthwise into twenty ½-inch-thick strips.
Thread each strip onto a wooden skewer. Season with ¼ teaspoon each salt and pepper.
Lightly oil the grill. Cook the chicken, turning occasionally, until cooked through, 6 to 8 minutes, basting with the ketchup mixture during the last 2 minutes.
Meanwhile, grill the corn, turning occasionally, until slightly charred, 3 to 4 minutes.
Cut the kernels off the cobs, place in a medium bowl, and toss with the butter, scallions, and ¼ teaspoon salt and pepper.
Serve with the chicken.