Bring a large pot of salted water to a boil and cook the chickpea linguine according to package directions until al dente.
Reserve 0.25 cup of the pasta cooking water before draining the noodles.
While the pasta cooks, heat the olive oil in a large skillet over medium-high heat.
Season the chicken breast with sea salt and black pepper, then sauté until golden and cooked through.
Remove the chicken from the pan and set aside; in the same pan, add the sliced mushrooms and minced shallots.
Sauté the mushrooms until they release their moisture and turn a deep golden brown, then add the minced garlic and thyme for 1 minute.
Reduce the heat to low and stir in the Greek yogurt and reserved pasta water to create a creamy base.
Return the chicken and cooked linguine to the skillet, tossing everything together until the sauce coats the noodles.
Remove from heat and drizzle with the truffle oil just before serving to preserve its delicate aroma.