Knox County Registrar of Deeds Steve Hall says in the Knoxville News Sentinel [1] that he and other fee officeholders are considering a federal lawsuit opposing the Tennessee Supreme Court term limits ruling that removes him from office.
It's not clear what the basis for such a lawsuit would be, or if there is a federal issue involved. Presumably it would be based on violation of due process under the U.S. Constitution as asserted in the original lawsuit.
This might not get much traction, however, because the case has had plenty of process, and the Tennessee Supreme Court ruling [2] clearly states that "it is our conclusion that the term limits amendment meets due process guidelines," and that the "term limits amendment, enacted under the de facto charter, meets standards of due process and must be upheld as a component of the governmental unit."
But there is, of course, precedent for the U.S. Supreme Court to intervene and overturn state supreme court decisions [3] on similar 14th Amendment grounds.