CLE LCL CHALLENGES MD88 FLC FOR CROSSING RWY WITH LNDG TFC ON 2 MILE FINAL.

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WE RECEIVED TAXI CLRNC AT CLE TO 'RWY 24R; ORANGE RTE; HOLD SHORT RWY 24L.' WE COMPLIED WITH THIS CLRNC AND SWITCHED TO TWR WHILE HOLDING SHORT OF RWY 24L ON RWY 28. WE WERE SUBSEQUENTLY CLRED TO 'CROSS RWY 24L; POS AND HOLD RWY 24R.' THE CAPT CAREFULLY ADDED PWR TO AVOID JET BLAST TO THE ATR BEHIND; AND PROCEEDED TO CROSS RWY 24L. AS WE CROSSED THE HOLD SHORT LINE; WE HEARD 'ACR Y' AND THE XMISSION CUT OUT; AS IF THE TWR CTLR UNKEYED THE MIKE. AS WE CROSSED THE CTRLINE AND OBSERVED THE ACFT ON SHORT FINAL FOR RWY 24L TO BE CLOSER THAN THE PREVIOUSLY STATED 2 MILES; WE HEARD 'HOLD SHORT RWY 24R.' I SAW THERE WAS NOT ENOUGH ROOM FOR AN MD88 TO HOLD SHORT BETWEEN RWYS 24R AND 24L; AND BEFORE I COULD RESPOND; THE CTLR AGAIN SAID 'HOLD SHORT RWY 24R.' I ACKNOWLEDGED; 'ROGER; HOLD SHORT RWY 24R;' WITH UNCERTAINTY IN MY VOICE OVER THE LACK OF SPACE TO DO SO. IMMEDIATELY; THE LOCAL CTLR INSTRUCTED THE ACFT ON FINAL FOR RWY 24L TO GAR; AFTER WHICH HE PROCEEDED TO YELL OVER THE FREQUENCY; 'I TOLD YOU 3 TIMES TO HOLD SHORT RWY 24L!' I RESPONDED WE DID NOT HEAR THAT; AND ASKED IF ANY OTHER ACFT HEARD THAT. THE ONLY RESPONSE WAS THE LCL CTLR IN A VERY JUVENILE MANNER; STATING THAT IT WAS ALL RECORDED. (NO KIDDING; I'M A PROFESSIONAL PLT) IF I WAS CAPT; I WOULD HAVE ASKED HIM TO MARK THE TAPE AND CALLED ON ARRIVAL. THE SAFETY CONCERN WAS THAT WHILE BERATING US OVER THE RADIO; THE LCL CTLR HAD 2 ACFT ON FINAL FOR RWY 24R AND L; ONE ON A GAR; AND US IN POS ON RWY 24R. OUR SUBSEQUENT TAKEOFF CLRNC WAS BLOCKED BY THE GAR ACFT ASKING FOR A CHANGE TO DEP. I FULLY BELIEVE THE CTLR MEANT TO SAY HOLD SHORT RWY 24L; BUT DID SO TOO LATE AND ACCIDENTALLY; UNKEYED THE MIKE. HE THEN STATED THE WRONG RWY TWICE ; COMMITTING AN OPERROR HE TRIED TO BLAME US FOR. THE CTLR NEVER SAID OVER THE FREQ TO HOLD SHORT RWY 24L AFTER WE WERE CLRED TO CROSS. SUPPLEMENTAL INFO FROM ACN 520713: WE HAD HEARD SEVERAL XMISSIONS DURING THAT BRIEF TIME; BUT DID NOT HEAR OR RESPOND TO ANY INSTRUCTIONS FOR US. THE TWR CTLR SAID HE CALLED 3 TIMES TO TELL US TO HOLD SHORT; WITH NO RESPONSE. WE HEARD NO SUCH CALLS. WE DID; HOWEVER; HEAR COMS WITH OTHER ACFT JUST FINE.