Preheat the broiler and position a rack 8 inches from the heat. Arrange the bacon slices on a baking sheet in a single layer. In a small bowl, stir together the honey, soy sauce and five-spice powder and brush liberally over the bacon. Broil for 10 minutes, turning once, until the bacon slices are browned and crisp. Transfer the bacon to a work surface and cut into 1/2-inch pieces. Let the bacon cool.

In a large bowl, whisk the olive oil with the lime juice, lime zest, fish sauce, and chile oil and season with salt and pepper. Add the snow peas, pea shoots, basil, mint, and bacon and toss. Serve right away.