Heat oven to 200C/180C fan/gas 6. In a bowl, whisk together the Cajun seasoning, vegetable oil, lime zest and juice. Toss the chips, wings and Cajun mixture together in batches, so that everything is well coated.
Cover a large baking sheet with foil, then arrange the chips around the outside and the wings in the middle. Season and bake for 20 mins, then turn the chips and return to the oven for a further 20-25 mins until the chips and wings are golden. Serve with green salad, or coleslaw and ketchup.