Yes, absolutely meter out your cycling thermostat. Should get continuity on the 2 terminals that are far apart from each other and 6800 to 7000 ohms on the two terminals that are close to each other. Make sure to pull the wires off the terminals before doing this test.
If that checks okay, the problem is in your exhaust system. The ducts inside the dryer are blocked with lint, or the vent running from the back of the dryer to the wall is crushed, or duct inside your wall is clogged somewhere or could even be blocked at the exit point (flapper stuck closed, for example).
If it's not this stuff look at the dryer's blower wheel. It could have a lot of lint in the blades that prevent it from picking up air. Make sure it is spinning with a lot of force when you turn on the dryer.
(Dear Samurai, thank you for designing this site with the "autosave" feature. I had typed all this and then my computer totally screwed me and froze! I had to restart it before clicking Post!)
- Samurai Appliance Repair Man likes this