Keep the piece or the crown, avoid chewing on that side, and call during clinic hours. A crown that has come off clean can often be re-cemented the same day if the tooth under it is sound. A broken tooth is repaired with bonding, a filling or a new crown depending on how much is lost and whether the nerve is exposed: the latter is what makes it urgent.
If there is swelling, or the tooth was knocked out whole, see the dental emergencies page for what to do right now.
Dr. Aashish PanditBDS, MDS, Periodontology & Implantology · Periodontist & Oral Implantologist

