Put the olive oil, lime juice, ginger, honey, dijon mustard, kosher salt, and pepper in a mason jar or container with lid. Shake until combined.
Pat the shrimp dry and put them in a bowl, add a few spoonfuls of the ginger lime sauce (save the rest of the ginger lime sauce for dipping) and Old Bay seasoning.
Put the shrimp on 6 to 8 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 and brushing with any leftover marinade.
Serve the shrimp with the leftover ginger lime sauce for dipping.