Preheat your waffle maker and brush both sides generously with olive oil.
Line a baking sheet with parchment paper and set aside.
In a medium bowl, whisk eggs and sea salt until smooth. Stir in shredded Swiss cheese and caraway seeds until well combined.
Pour batter into the waffle maker wells (don’t overfill—it expands!). Cook until golden brown and crispy (about 4–6 minutes depending on your machine).
Transfer chaffles to the parchment-lined baking sheet. Repeat with remaining batter to make 8 chaffles total.
Preheat oven to 350°F.
In a small bowl, whisk together mayonnaise, tomato paste, Dijon mustard, onion powder, hot sauce, Worcestershire sauce, and black pepper to make the dressing. Set aside.
Top 4 chaffles with 2 oz pastrami each (fold to fit), then place a slice of Swiss cheese on top of each.
Bake 4–5 minutes until cheese is melted and bubbly.
.Remove from oven. Divide kimchi and dressing evenly among the topped chaffles.
Cap with the remaining 4 plain chaffles to make sandwiches.
Serve immediately and enjoy every spicy, cheesy bite!