CPR AC69 FLC DEPART ARPT WITH OTHER FLYING ACTIVITY BEING CONDUCTED. PLT MISINTERPS DEP CLRNC FOR AUTH TO PENETRATE INTO CLASS B AIRSPACE. PLT DIRECTED TO DSND CLR OF CLASS B AIRSPACE.

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ON JUN/XA/98 AT APPROX XA00 HRS; WE WERE DEPARTING TEB ON RWY 24. WE HAD JUST LANDED; 30 MINS SOONER; DISCHARGED PAX; REFUELED; AND CONTACTED TEB CLRNC. AT THIS POINT; I WOULD LIKE TO SUBMIT THAT TEB HAD A SPECIAL EVENT IN EFFECT AND THE TFC AND COMS WERE HVY. WE REQUESTED DEP DIRECT YARDLEY VOR; THEN DIRECT ESN. WE WERE TOLD TO TAXI TO RWY 24. AFTER ABOUT 20 MINS; WE WERE APPROVED FOR TKOF. AFTER TAKING OFF AND INTO A CLB; WE FINALLY WERE ABLE TO CONTACT TEB TWR AND REQUESTED A HDOF; BECAUSE HE NEVER GAVE US ANY INFO TO THIS POINT. WE THOUGHT THIS WAS STRANGE UNDER THE CLASS B AIRSPACE. AFTER WE CONTACTED TEB TWR; HE STATED THAT WE WERE IN CLASS B AIRSPACE; WITHOUT A CLRNC. I RESPONDED; 'THANK YOU.' HE THEN SAID; 'TURN TO THE W AND DSND TO 2000 FT.' WE ATTEMPTED TO DO THAT; BUT EVEN THOUGH TURNING WESTWARD TO SOLBERG VOR; WE HAD TO CLB TO 2000 FT; DUE TO HAZE AND SAFE OBSTACLE CLRNC. WE WERE NOT GIVEN ANY FREQ TO CALL. CONTRIBUTING FACTORS MAY HAVE BEEN THE SPECIAL EVENT AT TEB. WE ASSUMED; AFTER CLRNC; TO PROCEED TO YARDLEY AT CLB SPD. NORMALLY A HDOF IS GIVEN AFTER DEP TO CTR FREQ. WE DID NOT STIPULATE THAT WE NEEDED A CLRNC INTO CLASS B AIRSPACE; BECAUSE WE HAD GIVEN HIM OUR DIRECT YARDLEY VOR AND CLB TO 8500 FT. THERE WAS NO RESPONSE FROM TEB; ABOUT ANYTHING WE HAD TO DO AFTER TKOF. WE FOUND OUT LATER THAT WE HAD #2 INVERTER INOP; WHICH IF SOMEONE CALLED US; WE MAY NOT HAVE HEARD THEM; DUE TO ITS INTERMITTENT LAG. WE ARE NOT HAPPY WITH THIS EPISODE; WE WILL REQUEST A FULL READBACK FROM CTLRS; AND NOT TO ASSUME A HDOF.