ACR GIVEN A 360 DEG TURN ON APCH DUE NOT HEARING RECEIVING APCH CLRNC.

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HAD JUST BEEN HANDED OFF TO FINAL APCH CTLR FOR ILS 32 AFTER HAVING BEEN ASSIGNED 11000 FT MSL AT 320 KIAS. FINAL CTLR WAS BUSY. AFTER CHK-IN; HE ASSIGNED A HDG AND DSCNT TO 9000 FT MSL. SHORTLY THEREAFTER HE CLRED US TO 7000 FT AND CLRED US FOR THE ILS 32 APCH. SHORTLY THEREAFTER; HE GAVE US A VECTOR OFF COURSE (REASON NOT GIVEN; POSSIBLY A 'WIDENING OUT' VECTOR BECAUSE WE HAD BEEN CLRED FOR APCH FROM WELL ABOVE GS). SHORTLY THEREAFTER; WE WERE GIVEN ANOTHER VECTOR; TOLD TO INTERCEPT THE LOC AND MAINTAIN 7000 FT. HERE IS WHERE PROBLEM AROSE. NO ONE (INCLUDING FAA INSPECTOR GIVING US A CHK RIDE) HEARD THE APCH CLRNC. WE LEVELED AT 7000 FT ON THE LOC; STILL ABOVE THE GS; AT WHICH TIME I ASKED IF WE'D BEEN CLRED FOR THE APCH. NEITHER CAPT NOR FAA INSPECTOR RECALLED HAVING BEEN CLRED FOR THE APCH; AND CAPT COULDN'T GET A WORD IN EDGEWISE BECAUSE RADIO TFC WAS JAMMED. FINALLY CTLR SAID 'ACR ARE YOU GONNA MAKE IT?' WE ANSWERED NEGATIVE; AT WHICH TIME WE WERE ASSIGNED 5000 FT MSL; GIVEN A R 360 DEG TURN; AND RECLRED FOR THE APCH.