Heat oven to 200C/180C fan/gas 6. Mix the oil with 2 tbsp miso, toss the chicken wings in the mixture to coat, season well and spread out on a large baking tray. Put in the oven for 45 mins.
Put the sugar in a pan with 2 tbsp of water and gently dissolve the sugar. When it’s no longer grainy, turn up the temperature, keeping an eye on it, and boil until it’s an amber caramel. Take off the heat and carefully stir in the remaining miso, the butter and lime juice. Set aside.
Pour the caramel over the chicken wings, coating all of them. Sprinkle over the sesame seeds, then return to the oven for 5 mins.