Jay, that high limit is normally closed and opens at 660°F (330°C).  If you’re absolutely certain that the oven isn’t exceeding that, then the high limit could be faulty. Just because it’s clean and mounted properly doesn’t mean it can’t fail. It has a gas charged capillary and bulb that might have leaked a little over time.
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The service manual has a procedure for properly testing the oven’s temperature using proper test equipment.
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By design, a high-limit is fail-safe. What I mean is that if its gas charge leaked out, the high-limit will fail and prevent unit operation.
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I DO encourage you to be sure the oven is clean, though. Clogged fingers can have odd effects on airflow and the oven’s heating characteristics. I don’t know if that can become so significant that it would trip the high limit, but I DO know that not cleaning the oven can cause a number of other problems.