Product review (5 stars): Easy fix for Kenmore 417 Gas Dryer
My Kenmore 417 series gas 110v dryer would flame on for a short time (you can hear the whoosh sound of ignition) during the start of the cycle but then not stay hot.  You get damp clothing at the end of the 1 hour cycle.  Since I get flame its not an igniter problem.  The initial few seconds gets pretty warm but then cools off.  Tested the high limit thermostat but that was not the problem.  Turns out these two coils were the culprit.  Namely the two pin coil went bad.  I replaced the original ones from over 10 years ago with these and it instantly fixed the problem.

Instructions for replacing the two coils on a 110v gas Kenmore 417 dryer.  The Kenmore 417 was stacked over my Kenmore 417 washer, so you have to unstack it first and unplug the power.  You might have to disconnect the vent hose depending on your setup.  The top lid of the dryer pops off with pressure only (from the front with a screwdriver and a soft cloth), no need to unscrew anything.  Then two screws on interior of each side hold the front panel on, take those out.  Now pull off the front panel.  The gas coils are on the bottom left if you are facing the gas dryer with the opening facing you like you are loading laundry.  You need a philips screwdriver to take off the metal coil cover, then pull off each electrical coil connector.  Notate the indentation on the coils and which coil is sitting on the inside versus outside since one is 3 pin and the other is 2 pin.  Place the new coils in, connect the electrical coil connectors, screw the cover back in.  Take this time to vacuum all the extra lint and dust out of the interior and try to clean out the blower fan (this is your only chance in decades).  Put the front panel back on, screw the two screws back in, and pop the top in.  Ensure power and vent connections are solid.  Viola, you are done.  Enjoy loads of dry laundry again.