Clean the cheeks and remove the membranes. *You can easily pull the membranes off the cheeks by hand. If you buy frozen monkfish cheeks, it is easiest to do this when the cheeks are half thawed, - then they come away easily.*Remember to remove the white sinew too, - it pulls out of the monkfish cheeks easily.
Toss the monkfish cheeks in oil and season them with salt and pepper.*This is a good time to start on the pasta, so it cooks while the cheeks are on the barbecue.
Grill the monkfish cheeks over high heat, - the barbecue must be searingly hot (at least 250°C), and give them about 3 minutes on each side. Keep the lid open.Grill the lemons too, cut side down.
Pasta aglio e olio with rocket
Bring a large pan of well-salted water to the boil and cook the pasta for one minute less than the packet says.
Meanwhile, heat the oil in a frying pan over medium heat, add the garlic and half the parsley and let it sizzle gently in the oil while the pasta cooks.*Stir regularly and make sure it doesn't get too hot, – the oil should only just bubble gently so the garlic turns pale golden and flavours the oil. At home my hob is set to 5 out of 9.
Lift the pasta straight from the pan of water (don't drain it) into the frying pan and toss it thoroughly with the oil.
Add the Parmesan, the rest of the parsley and the pasta water, and let it simmer for another minute or so, – tossing constantly.
Finally, stir in the rocket and season to taste with salt and pepper.*Add a pinch of chilli flakes too, if you like.
Grilled monkfish cheeks with garlic pasta
Serve the pasta with 2-3 monkfish cheeks per person. Toss the monkfish cheeks through the pasta if you like, so they pick up some of the flavourful garlic oil too, - and squeeze over the grilled lemon before serving.
Top with finely chopped parsley and a little Parmesan, if you like.