MAX: I mean I don’t see you for months and then all of a sudden –
LORELAI: Ding-dong, Avon lady.
Avon is an American cosmetics company founded in 1886, a direct selling multi-level marketing company which is one of the largest in the world. It uses door-to-door salespeople to advertise its products, otherwise known as Avon Ladies.
Avon’s television commercials in the 1950s and ’60s featured a doorbell going “Ding-dong”, and then the catchphrase, “Avon calling”; it’s one of the longest-running and most successful advertisements ever. Lorelai humorously likens her visit to Max with an Avon lady calling.