Preheat the oven to 325
Sauté the onion and diced chard stems in olive oil with about ½ tsp of salt on medium high heat. Use enough oil to make everything glisten, but not have a pool of olive oil underneath. About 1 tablespoon should work. Sauté, stirring frequently, until softened. Expect about 5 minutes.
Add the garlic to the pan, and sauté for another minute or two.
Add the chopped chard leaves to the pan in a few batches. Sauté the first batch, stirring by lifting from the bottom and placing on top, until the first batch is wilted enough to make room for another batch. Continue until all of the chopped chard is wilted and cooked. Expect about 6-8 minutes.
While the chard sautés, beat the eggs with the cream, ½ tsp of salt and a few cranks of the pepper grinder.
Evenly distribute the chard and onions in the pan and pour the egg mixture over. Sprinkle the cheese evenly over the top (don’t skimp at the outer edge!).
Transfer the pan to the pre-heated oven and cook until done. Expect 20 minutes, but check at 15, and re-check every few minutes after. There should be no jiggle if you shake the pan. A toothpick test can reveal if there is any runny egg. You are going for a custardy egg. Too little time is runny and too much time is rubbery.