A B767-300 FLC EXPERIENCES A COMPRESSOR STALL AND A SPUN DOWN ENG JUST AFTER LIFT OFF AT CVG; KY.

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DURING WALKAROUND NOTED SMALL PUDDLE OF OIL INSIDE R ENG COWL UNDER BULLET NOSE. NO VISIBLE DRIPS FROM ABOVE. THIS ANOMALY HAD BEEN WRITTEN UP PREVIOUSLY (AT DFW) AND SIGNED OFF BY MAINT AS 'WITHIN LIMITS.' ALSO WRITTEN UP ON ENG WAS THAT THE HIGH PRESSURE BLEED SHUT-OFF VALVE HAD BEEN SECURED CLOSED BY MAINT PREVIOUSLY DUE TO AN EICAS MESSAGE. I HAD CVG MAINT CHK THE OIL LEAK AGAIN. PUSHBACK AND START-UP WERE NORMAL. BOTH ENGS WERE GIVEN MORE THAN 5 MINS TO WARM UP. DURING TKOF; JUST AFTER CALLING OUT VR; THE R ENG BEGAN COMPRESSOR STALLING. EGT REACHED A MAX OF 710 DEGS C AND PWR DID DIMINISH. CLBED TO 1000 FT AGL AND RAN ABNORMAL PROC. ENG INDICATIONS WERE BACK WITHIN LIMITS SO IT WAS DECIDED TO LEAVE THE ENG RUNNING IN IDLE UNTIL AFTER LNDG. LNDG WT WAS 311800 LBS AND MAX LNDG WT IS 295000 LBS. AUTO BRAKES WERE SELECTED AT LEVEL '4.' CAPT DID AN OUTSTANDING JOB GETTING THE ACFT SMOOTHLY AND FIRMLY ON THE GND. BRAKE TEMPS ALL GOT HIGH WITH #7 TIRE ASSEMBLY REACHING LEVEL '9.' THE BRAKES BASICALLY FROZE UP AND THE PAX HAD TO BE BUSSED TO THE TERMINAL. NO INJURIES TO PAX AND CREW. THE COM BTWN THE COCKPIT CREW AND ALL OTHER INVOLVED ENTITIES WAS SUPERB. KUDOS TO CVG TWR; DEP; APCH; GND AND CFR. THE FLT ATTENDANTS WERE GREAT AT KEEPING US INFORMED ABOUT WHAT ACFT CONDITIONS THEY COULD SEE/FEEL AND HOW THE PAX WERE HOLDING UP.