I made plans to let the Mini Cooper service department evaluate the problem on Friday. $99. I hope this is just wear and tear. My reason for trying to solve this problem is the car is driven by my daughter. 100 miles a day round trip to college.
It's hard to describe.
You are driving and long as the engine is loaded turning the wheels, all is good. While car is rolling, if you remove your foot from the gas pedal then give it gas again. You can feel the engine rev up to a slight thump feeling indicating the engine engaged with the wheels. The transmission is not slipping. Only feel problem when apply gas to engine to catch up with the force need to make the wheel roll. I am talk this way because I do not know if the problem is in the engine to transmission or in the transmission to wheel. Its more than normal play.