Heat a wok and add a little oil. Stir-fry half the lamb until browned. Remove to a plate then stir-fry the remaining lamb and remove. Add the garlic, chillies and ginger and cook for a minute. Return the lamb to the wok and stir through for a couple of minutes to reheat.
Cut the pak choy across the stem and leaves into thin slices. Then add into the wok along with the noodles. Combine well and continue to cook until the pak choy just wilts. Stir through the soy sauce, brown sugar and lime rind and juice.
Remove from the heat and add in the scallions and basil.