B737-300 FLT CREW HAS ICE AND SNOW CONTAMINATION ON ACFT AT CLE; AFTER BEING DEICED.

Narrative

AFTER TAXI OUT TO THE DEICE PAD IN CLE; THE DEICE RUN-IN LINES TO THE 6 DEICE PADS WERE HARD TO DISTINGUISH; AND THERE WAS SOME CONFUSION ON THE PADS NUMBERING SYS. HOWEVER; THE BIG PROB WAS THAT AFTER DEICING; THE ICEMAN CLRED US TO TAXI OUT EVEN THOUGH WE WERE STILL CONTAMINATED WITH 5-6 INCHES OF SNOW/ICE ON TOP OF THE FUSELAGE. FROM THE COCKPIT; NEITHER THE FO NOR I COULD SEE ANY OF THE REMAINING CONTAMINATION; AND THE WINGS LOOKED GOOD FROM THE COCKPIT. THE COMPANY RAMPERS SAW US TAXI TO THE RWY FOR TKOF AND CONTACTED THE CLE TWR TO GET US TO CALL BACK TO OPS. AFTER WE CALLED; THEY SAID THAT WE WERE STILL CONTAMINATED; AND WE THEN TAXIED BACK TO THE GATE TO REFUEL AND TOOK A LOOK AT THE TOP OF THE FUSELAGE. I CONFIRMED AT THE GATE THAT WE DID HAVE UP TO 6 INCHES OF SNOW LEFT ON TOP OF OUR ACFT; EVEN THOUGH THE FO HAD CONFIRMED WITH ICEMAN THAT WE WERE 'CLEAN AND CLEAR' PRIOR TO TAXING OUT OF THE DEICE PAD. THE CONSEQUENCES OF THIS CONTAMINATION COULD HAVE BEEN DIRE WITHOUT THE VIGILANCE OF OUR OUTSTANDING RAMPERS AT CLE. THE CLE TWR DID A VERY GOOD JOB IN ASSISTING US WITH THIS SITUATION. ADDITIONAL TRAINING OF THE DEICE CREWS WITH EMPHASIS ON THE CONSEQUENCES OF CUTTING CORNERS NEEDS TO BE ACCOMPLISHED BEFORE THE NEXT SNOWFALL IN CLE.