Preheat the oven to 170°C/gas mark 3. Grease two baking sheets with olive oil.
Quarter the turnip, then use a mandolin to thinly slice into crisps. Alternatively, you can use a vegetable peeler to get really thin slices.
Place the turnip slices in a large mixing bowl and drizzle with the olive oil and jerk seasoning. Toss well to coat evenly. Spread the crisps on the greased baking sheets in an even layer without overlapping.
Bake in the oven for 15 minutes, then turn each piece over and arrange them in a single layer again. Return to the oven for another 10 minutes. These crisps can be served warm.