Finely chop the fresh tarragon, ginger, and garlic. Squeeze the juice from the lime.
In a medium saucepan, heat the olive oil over medium heat. Add the garlic and ginger and sauté for 1-2 minutes, until fragrant.
Pour in the coconut milk, then stir in the lime juice and honey. Simmer over low heat for 5-7 minutes, or until the sauce has slightly thickened.
Add the chopped tarragon, then season with salt and white pepper to taste. Cook for another 2-3 minutes.
For a smoother sauce, purée with an immersion blender. Alternatively, serve as is for a more rustic texture.
Let the finished sauce cool slightly, then serve with grilled chicken, fish, or roasted vegetables. It can be stored in the refrigerator for up to 3 days.
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