Rinse the lamb chops under cold water and pat them dry with paper towels. Season with salt and pepper. Mince the garlic and finely chop the fresh rosemary, then rub the mixture into the lamb chops.
Brush the lamb chops with olive oil and let them rest at room temperature for 15 minutes to allow the flavors to meld.
On a preheated grill or in a grill pan, cook the lamb chops for 4-5 minutes per side, or until they develop a golden-brown crust. If the meat is thicker, continue cooking, but be careful not to overcook them.
While the lamb is grilling, prepare the dill sauce. In a small saucepan, melt the butter over medium heat. Add the flour and whisk continuously until the mixture turns a light golden color.
Pour in the sour cream, whisking until smooth. Add the finely chopped fresh dill. Season with salt and pepper to taste, and add a squeeze of lemon juice for brightness.
Simmer the sauce over low heat for 3-4 minutes, or until it thickens slightly. If the sauce becomes too thick, add a splash of water or sour cream to thin it out.
Let the grilled lamb chops rest for 5 minutes before serving. Serve with the fresh, creamy dill sauce.
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