Pour the olive oil in a skillet over medium-high heat. When hot, add the potatoes and spread them evenly in the pan. Cook the potatoes for 5 minutes or so, make sure you scrape and toss the potatoes during cooking so that you can get each side browned and cooked through.
Add in the fresh thyme, onion and the white beans and spread all around the skillet. Let cook, undisturbed for 2 minutes to brown just a bit, then scrape and toss again. Cook until the beans are nicely browned on both sides.
Stir in the cabbage and cook for another minute. Sprinkle with sea salt and freshly ground black pepper. Stir and toss again. Once the cabbage has wilted down, the dish is ready.