Yes there's an oil cooler. Looking at the engine from inside the car (if you could!) it is below and to the right of the oil filter. It is water cooled and looks a bit like the kind of tin your granddad would keep his tobacco in. I know because the seals on mine failed and leaked oil down the back of the engine - luckily I noticed the oil smell, patch on drive and level drop on dipstick before any catastrophe occurred. Fixed under warranty.