Preheat oven to 400°. Line a rimmed baking sheet with parchment paper.
Arrange baguette slices on prepared baking sheet. Brush baguette slices with 1 tablespoon olive oil.
Bake until golden brown and toasted, 10 to 15 minutes. Let crostini cool completely.
In a small bowl, stir together fig preserves and balsamic vinegar until well combined.
Heat a large skillet over medium-high heat.
Coat pork with remaining 1 1⁄2 teaspoons olive oil and season with rosemary, salt, and pepper. Add pork to skillet; cook, turning occasionally, until browned on all sides and an instant-read thermometer inserted into the center registers 150°. Let rest for 15 minutes. Slice pork very thinly.
Spread a small amount of fig mixture onto each crostino. Top each with pork and arugula. Serve within an hour.
Recipe by TeaTime Magazine at https://teatimemagazine.com/balsamic-fig-pork-crostini/