I am wondering if sagging cheeks can be improved with Thermage treatment.

I learned about Thermage while worrying about the significant sagging around my mouth and cheeks caused by a loss of facial elasticity as I aged. I am curious whether the procedure alone provides a definite lifting effect on sagging cheeks, or if it merely improves the elasticity of the skin's surface. I am also wondering if an anesthetic cream is applied during the procedure, or if it is tolerable without anesthesia. How long does facial swelling or redness last after the treatment?