Tenn. Code Ann. § 12-4-203

In the event the contractor who has executed the bond gives notice, in writing, by return receipt registered mail, to any laborer or furnisher of material or to any such immediate or remote subcontractor that such contractor will not be responsible therefor, then such person who thereafter furnishes such material or labor shall not secure advantage of §§ 12-4-201 — 12-4-206, for materials furnished or labor done after the receipt of such notice.