PVT PLT OF A C172 STARTED TKOF AFTER LNDG SINCE HE BELIEVED THAT HE WAS CLRED FOR A TOUCH-AND-GO LNDG AND ABORTED WHEN HE LOOKED UP AND OBSERVED ANOTHER ACFT APCHING TO LAND FROM THE OPPOSITE DIRECTION. HE BLEW ONE MAIN GEAR TIRE WHEN STOPPING FAST TO CLR THE RWY. HE HAD NOT BEEN CLRED FOR A TOUCH-AND-GO; HOWEVER; THE TWR SHOULD HAVE MADE IT CLR THAT CLRNC FOR FULL STOP AND CLR THE RWY FOR OPPOSITE LNDG TFC.

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