ACR ON TKOF ROLL ELECTS NOT TO COMPLY WITH TWR CLRNC TO CANCEL TKOF CLRNC; XING RWY ARR IS ISSUED GAR.

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FROM A STATIC TKOF AT THE TKOF POS TWR CLRED US FOR TKOF. AT APPROX 50 KTS AND ABEAM TXWY M TWR XMITTED 'ACR X CANCEL YOUR TKOF CLRNC.' CAPT (PLT MONITORING) XMITTED; 'NEGATIVE; WE'VE BEGUN OUR TKOF ROLL.' TWR THEN DIRECTS AN ACR Y RJ ON ABOUT A 2 MI FINAL FOR XING RWY TO GO AROUND. ON DEP TWR DIRECTED US TO CONTACT THEM REGARDING 'POSSIBLE PLTDEV.' PLTS OF ACR X CONTEND THAT TKOF ROLL WAS COMMENCED (TKOF MANEUVER WAS IN PROGRESS); IF TWR WANTED US TO 'ABORT' TKOF; THAT COMMAND SHOULD HAVE BEEN ISSUED FOR THAT PHASE OF 'FLT.' TKOF CLRNC WAS GIVEN AND RECEIVED AND COMMENCED. A SAFETY OF FLT ISSUE WAS A CONCERN WHEREAS WE WERE APCHING THE SPD AT WHICH THE RTO FEATURE WOULD ACTIVATE AT THROTTLE REDUCTION. IT SHOULD BE NOTED WE WERE WITHIN APPROX 8000 LBS OF OUR MAX ALLOWABLE TKOF WT. THIS IS A FLT OPS ISSUE VERSUS CTLR TIMING OF A LNDG CLRNC GIVEN FOR TFC ON XING RWY AND TKOF CLRNC OUR RWY. PLTS OF ACR X FLT DID HAVE THE TFC IN SIGHT. VISIBILITY WAS UNLIMITED. SUPPLEMENTAL INFO FROM ACN 802888: I SET TKOF PWR; TKOF ROLL COMMENCED. SHORTLY INTO TKOF ROLL; THE SAME TWR CTLR STATES' ACR X TKOF CLRNC CANCELED.' CAPT RESPONDS 'NEGATIVE WE'VE BEGUN OUR TKOF ROLL;' I HAD REDUCED PWR SLIGHTLY AWAITING THE CAPT'S INPUT AND HE INDICATED TO CONTINUE THE TKOF. FULL PWR REESTABLISHED AND TKOF CONTINUED.