Definitions of anon:

• noun:   sweet pulpy tropical fruit with thick scaly rind and shiny black seeds
• adverb:   (old-fashioned or informal) in a little while

  Example: "See you anon"

• adverb:   at another time

  Example: "Ever and anon"

• name:  A surname (very rare: popularity rank in the U.S.: #48450)