I have a super saver carrier furnace about 10 years old and the flame comes on perfectly but the flame goes out in about 5 minutes although the thermostat is still calling for heat. It takes a long time for the house to heat. I have cleaned the sensors for the firebox and in the fan inducer on the stack. What is turning the flame off? Could it be the draft switch?

I guess you already checked your air filters?
If they are dirty that could be a problem.
Is the main blower running?