Place chicken and Cajun seasoning in a bowl and toss to coat. In a large skillet over medium heat, sauté chicken in butter and oil combination until chicken is tender and cooked, about 5 to 7 minutes. Remove from pan.
Reduce heat and add onion, peppers, garlic, and smoked sausage, cook until veggies are tender. Remove from pan.
Pour wine into the skillet to deglaze, and slowly add heavy cream, heat till just bubbling.
Add meat and veggies to sauce. Mix together and then stir in pasta.
Add seasonings and stir to combine. Garnish with fresh basil and parmesan cheese.
Pour over hot linguine and toss with Parmesan cheese.