Live On Meaning

(idiomatic, intransitive) To endure.

Example:   When he was in the rainforest, he lived on bugs and rainwater.
  Her memory lives on in our hearts.
2012 June 4, Lewis Smith, “Queen's English Society says enuf is enough, innit?”[1], the Guardian:
  He described the members and organisers of the society as "a group of enthusiasts celebrating the richness and diversity of the English language", and is convinced that whether or not enough volunteers can be found to keep the society going, their enthusiasm and love for good English will live on.