Lightly spray the air fryer basket with olive oil, or line with a perforated parchment round. Preheat the air fryer to 330°F.
In a small bowl, mash together the goat cheese, honey, and Italian seasoning with a fork until smooth and spreadable.
Open the crescent dough. If using crescent rounds, separate the 8 pieces. If using a sheet of dough, pinch any seams together and cut into 8 equal squares. Gently flatten each piece into a 3-inch round.
Pat tomato slices dry with a paper towel — this is the key to crispy tarts.
Place dough rounds in the air fryer basket in a single layer (work in batches as needed). Spread about 1 tablespoon of the goat cheese mixture on each round, leaving a ¼-inch border.
Top each tart with a tomato slice and drizzle with a little olive oil.
Air fry at 330°F for 5 to 8 minutes, until the dough is puffed and golden brown around the edges. Check at the 5-minute mark.
Garnish with fresh basil, an extra honey drizzle, a touch of balsamic glaze, or flaky sea salt. Serve warm.