Bring chicken broth to a boil over medium-high heat. Add in grits and stir occasionally until thick (about 4-5 minutes). Remove from heat and stir in salt, pepper, and cheddar cheese. Keep warm.

Cook shrimp in a nonstick skillet over medium heat 3 minutes (or until almost pink) and stir often. Add in lemon juice and old bay seasoning and stir well. Cook for 3 minutes. Remove from heat.

Fill individual dishes with grits. Top with shrimp and garnish with chives.