Put the olive oil, lime juice, cilantro, honey, dijon mustard, kosher salt, and pepper in a blender or food processor. Pulse a few times and set aside.
Put the shrimp in a bowl, add a few spoonfuls of the cilantro lime dressing and the Old Bay seasoning. Toss until mixed.
Put the shrimp on 4 kabob skewers and brush with any leftover marinade in the bowl.
Preheat the grill to medium high. Grill the shrimp 5 minutes total flipping halfway through.
Serve with the remaining cilantro lime sauce for dipping.