AN ACR CREW DEPARTS WITHOUT RECEIVING ENRTE CLRNC.

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ARRIVED AT ACFT 50 MINS PRIOR TO DEP AND COMPLETED PREFLT. CREW CONSISTED OF CAPT; FO AND SO. DURING PREFLT PREPARATIONS I WAS CALLED TO CABIN TO HELP FLT ATTENDANTS WITH A MINOR PROB. UPON MY RETURN I OBSERVED DATA LINK MESSAGE BEING PRINTED. I BELIEVED IT WAS OUR ATC CLRNC. MY INTENTION WAS TO READ THE PRINTED CLRNC; BUT I WAS DISTRACTED BY THE ARR OF THE ACFT'S MAINT LOGBOOK; AGENTS COMING TO COCKPIT FOR VERIFICATION OF PAX COUNT; ETC. AS IT WAS DEP TIME AND WE WERE IN CONTACT WITH PUSHBACK CREW WE COMPLETED BEFORE START CHKLIST AND CONTACTED RAMP CTL AND WERE CLRED FOR PUSHBACK. WE STARTED ENGS; COMPLETED CHKLISTS; CALLED FOR TAXI AND WERE CLRED FOR TAXI TO RWY 28L. DURING TAXI TWO FURTHER DISTRACTIONS OCCURRED. ONE WAS AN INADVERTENT PUSHING OF THE EVAC COMMAND BUTTON BY ONE OF THE FLT ATTENDANTS CAUSING AN AURAL WARNING AND RED LIGHT IN COCKPIT. AND AFTER THAT WAS CLRED UP; A PAX RPTED TO A FLT ATTENDANT THAT THERE WERE STRANGE NOISES COMING FROM BELLY OF ACFT. I STOPPED THE ACFT SHORT OF RWY AND SENT SO TO CHK ON NOISES. WE DETERMINED THE NOISES WERE THE HYD BRAKE NOISES. COMPLETED BEFORE TKOF CHKLIST AND CALLED TWR READY TO GO. RECEIVED TKOF CLRNC WITH A TURN TO 350 DEGS. WHEN WE WERE SWITCHED TO DEP CTL WE WERE TOLD TO SQUAWK ANOTHER CODE. I THEN ASKED IF FO HAD IN FACT GOTTEN OUR ENRTE CLRNC. HE REPLIED NO. SO THEN SENT REQUEST FOR CLRNC BY DATA LINK AND WE RECEIVED IT. TOTAL TIME FROM TKOF TO CLRNC WAS 2 MINS. AT NO TIME WAS THE ACFT IN ANY DANGER.