A B733 CREW EXPERIENCED THE TKOF WARNING HORN AS THROTTLES WERE ADVANCED FOR TKOF.

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ORIGINATING FLT XXX TAMPA TO WEST PALM BEACH WAS DELAYED FOR MAINT (FUEL PUMP) ON OVERNIGHT. RUNNING 1 HR BEHIND; PAX A LITTLE UPSET; WE WERE HUSTLING TO TRY AND GET OUR PAX TO OUR NEWEST DEST WITH MINIMAL DELAY. PUSHBACK/START/TAXI OUT NORMAL. WHILE PERFORMING PRETKOF CHKS; NOTED LEADING EDGE FLAP INDICATOR INOP ON FORWARD AND OVERHEAD PANEL. SLOWED OUR TAXI; BUT CONTINUED TOWARDS RWY. CAPT VISUALLY CONFIRMED LEADING EDGE DEVICE EXTENDED ON HIS SIDE; AND ASKED IF I COULD SEE MINE -- THEY WERE EXTENDED. WE CONTINUED TAXI. I SAID 'WE NEED TO LOOK AT THIS CLOSER;' TURNED AROUND; CHKED ALL CIRCUIT BREAKERS IN. FOUND/CYCLED LEADING EDGE FLAP INDICATOR CIRCUIT BREAKER -- DID NOT FIX PROB. CAPT WAS 'COMFORTABLE' WITH VISUAL CHK AND WANTED TO CONTINUE. HE ASKED IF I WAS COMFORTABLE THAT THE DEVICES WERE EXTENDED; I REPLIED 'YES BECAUSE I CAN SEE THEM;' BUT WAS A BIT UNEASY ABOUT CONTINUING. WE CONTINUED TAXI. I SUGGESTED TO THE CAPT (PRIOR TO CLRNC ON RWY) IT WOULD MOST LIKELY ACTUATE THE TKOF WARNING HORN. HE REPLIED 'THAT WON'T AFFECT THE HORN' AND 'I FEEL COMFORTABLE THAT I CAN FIX THIS PROB.' TWR CLRED US INTO POS/HOLD (NOTICE -- WE NEVER STOPPED ROLLING UNTIL ON RWY) CLRED FOR TKOF. CAPT STARTED TO PUSH UP THROTTLES -- AS SUSPECTED; THE TKOF WARNING HORN SOUNDED. WE STOPPED; TOLD TWR WE NEEDED TO TAXI CLR AND LOOK AT A PROB. WE TROUBLESHOT SOME MORE; BUT DECIDED TO RETURN TO GATE. THE LEADING EDGE DEVICES WERE IN FACT EXTENDED; BUT A BOX IN THE E&E COMPARTMENT WAS NOT SNOWING ANY PWR. BOX REPLACED; FLT CONTINUED ON LATE; UNEVENTFUL. IN THIS DAY AND AGE WITH INCREASING CUSTOMER DISSATISFACTION WITH DELAYS/SVC; ETC; I FEEL THAT THERE IS A SENSE OF URGENCY TO COMPLETE THE MISSION. WE WERE ALREADY RUNNING LATE; DIDN'T WANT IT TO GET WORSE. LOOKING BACK; I WISH WE WOULD HAVE JUST STOPPED; SET PARKING BRAKE; AND REALLY LOOKED AT THE SIT CLOSER. I MENTIONED THE TKOF WARNING HORN; IF WE WRE STOPPED; THE CAPT MOST LIKELY WOULD HAVE TESTED IT; AND THIS WOULD NEVER HAVE BECOME AN ISSUE. I ALSO FEEL I SHOULD HAVE BEEN MORE EMPHATIC WITH MY SUGGESTION. JUST BECAUSE YOU ARE LATE; PRESSED TO CONTINUE; IT SHOULD NOT CHANGE THE WAY DECISIONS ARE MADE. I BELIEVE THAT OUR TRAINING DEPT DOES PUT OUT; STOP AND LOOK AT PROB; BUT I THINK IT SHOULD STRONGLY BE RE-EMPHASIZED IN GND SCHOOL. SUPPLEMENTAL INFO FROM ACN 507430: THERE IS A TRADITION HERE; AT LEAST IN MY FORMATIVE YRS; THAT 'CARRYING ITEMS' TO KEEP THE AIRLINE ON TIME IS OK; AND TO BE HONEST; I DO NOT HAVE A PROB WITH THAT AS LONG AS SAFETY IS NOT COMPROMISED; AND I BELIEVE OUR RECORD SPEAKS FOR ITSELF. IF; IN FACT; THE COMPANY WOULD LIKE TO CHANGE THE MIND SET; I WOULD SUGGEST REPEATED EMPHASIS VIA GND SCHOOL; CHIEF PLT'S NEWSLETTERS; AND FLT OPS MANUAL VERBIAGE TO ACCENTUATE THE SERIOUSNESS. SINCE WE ARE BEING TOTALLY HONEST HERE; IF THAT POLICY IS STRICTLY ADHERED TO; IN MY OPINION; MULTIPLE DELAYS WILL ENSUE AND OUR ON-TIME PERFORMANCE WILL SUFFER GREATLY.