Set your oven to 425F. Put a cast iron pan in the oven to preheat.
In a large bowl, whisk together the chickpea flour, plant milk and eggs until well-combined and there are no clumpy bits. Chickpea flour likes to clump, so take your time with this!
Remove the thyme leaves from the stems. Add in the salt and pepper and thyme. Mix well.
Remove the cast iron from the oven and pour in the 4 tbsp of olive oil, it will seem like too much but trust the process!
Pour the batter directly in the center of the pan, it should sizzle slightly.
Move the pan to the oven and bake at 425F for 18-22 minutes or until the dutch baby has puffed around the edges and sunk in the middle.
Remove from the oven. It will still have some oil in the center, so I use this to either dress any greens or toppings I'm adding to the dutch baby. But you can always pat it away with a paper towel if that's your preference.
Add any savory toppings you love (salads, cheese, pesto, oh my!) and serve.