This is a clever name for the combination of liposuction of the abdomen, combined with a skin resection. No muscle repair is done, and the umbilicus (belly-button) is not repositioned. In my opinion, since most women benefit from muscle repair if they've had children, the benefits of this procedure would be limited, compared to a tummy tuck with muscle plication. While I don't call it a "smooth tuck", this is what I do for liposuction patients who don't have the greatest elasticity of their abdominal skin. We combine the liposuction with a mini-tummy tuck style skin resection. Hope that helps...
The smooth tuck is a modified skin only tummy tuck (no muscle diastasis repair) and more commonly performed in men.