David Letterman isn’t one for grand send-offs, and that just makes the end of his tenure feel like the end of an era. “You’re like a New York staple!” Amy Sedaris tells him, adding, “You’re like the Turkish baths on 10th Street.” Sedaris has been on Late Show a total of — with this appearance — 34 times. That’s a lot of memories! You can feel Letterman resisting the urge to get mushy, but it’ll come. Just you wait.