I've just tried and my Vandoren Optimum V16 ligature fits just right on my tenor Link STM. It can slide to any position and then you can tighten it to hold the reed securely.
I know that Link STM tenor pieces vary quite a lot - mine is a late 70s or early 80s piece. The ridge on the back of the mouthpiece means that most other ligatures aren't very secure, but this seems like a nice combination on mine.
Rhys