In a large cast iron skillet, heat 1/4 cup of olive oil and 1 tbsp of unsalted butter. Turn heat to medium-high and add the garlic, saute briefly, tossing regularly, until fragrant (this should take seconds, garlic should only gain a little color, do not burn it.)
Pat calamari dry and add to the pan, cook for 1 to 2 minutes over medium-high heat (calamari will release some liquid.) Add white wine and lime juice. Cook briefly to warm though (do not overcook or calamari will turn rubbery. You are just looking for the sauce to warm through) Season with salt and pepper. If you like a little spice, add a pinch of cayenne.
Finally, stir in the fresh dill. Remove from heat and serve (see serving suggestions in notes)
