In a medium bowl, whisk together lime juice, honey, and 1 tablespoon oil; add cucumbers, pineapple, scallions, jalapeno, and basil. Season with salt and pepper; toss gently to combine.
Generously season salmon on both sides with salt and pepper. In a large skillet, heat remaining tablespoon oil over medium-high; add salmon, skin side down. Cook until skin is crispy and salmon is opaque about 3/4 of the way through, 4 to 6 minutes. Turn salmon over, and continue to cook just until opaque throughout, 2 to 4 minutes. Serve salmon topped with salsa.