Are you bored with the usual? It is common to have portraits taken with the face evenly lighted and with a white background. That is a very safe approach and is popular because you can use the photo for many purposes.
Dramatic lighting can help the photo stand out by creating contrast and interest. Of course, this would depend on how you intend to use the portrait and your profession. It is worth discussing with your photographer if this is something that would work for you.