One problem related to water pump has been reported for the 2011 Mini JCW. The most recently reported issues are listed below.
Approximately 20 minutes after parking my vehicle, it caught on fire. A quick goole search shows this is a known failure in the water pump of the turbo cooler - the electric auxiliary water pump that cools the turbocharger has an electronic circuit board that can malfunction and overheat. However, my vehicle was never recalled, and Mini never sent out any notice that this was a possibility.