To what extent is the hadith authentic: "Three things bequeath wealth: forsaking adultery, licking the vessel clean, and gathering what is scattered in the yard"?

This hadith has no origin; it is merely something that became famous on people's tongues. Al-Ajlouni mentioned it in "Kashf Al-Khafa'" when discussing the hadith "Washing the vessel and purifying the courtyard inherit richness," and he stated that it was reported with the wording "Licking the vessel and gathering from the courtyard inherit richness." It also became famous with the addition "and forsaking adultery."