One problem related to engine burning oil has been reported for the 2010 Mini Cooper. The most recently reported issues are listed below.
The timing chain is failing at 80,000. Dealer and Miniusa have agreed should last 4 life of the engine at least 120,000. . Caused oil to burn off , which caused wearing and damage to exhaust camshaft,seal , and vanos. Time chain failure has been documented on other models and class action suit has determined Mini is responsible for failure and knew about failure in the 2010 as well as far back as 2008. Mini has reduced repair costs from 4200$ to 1400$ but are refusing to take responsibility this far for full reimbursement. Time chain should have been a recall. Vehicle was operating when time chain began to rattle.