On April 4, the Tennessee House Local Government Committee passed HB 662. It had previously passed a subcommittee on March 28. It lowers the number of signatures for a newly-qualifying party from 2.5% of the last gubernatorial vote (33,816 signatures) to exactly 5,000. The vote was 9-3. Thanks to Paul Frankel for this news.
UPDATE: the Tennessee Senate State and Local Government Committee has decided not to act on this bill until next year, because the committee wants to see how the pending Green-Constitution lawsuit turns out in the Sixth Circuit. Thanks to Ken Moellman for that update.