Should those who fall away and return to the church be baptized again? - Overview

It is not uncommon for believers to be faithful for years, but "fall away", only to return years later with a reaffirmation of faith. Often this is common with teens who have a "wild" 20's and 30's, but return to the church in their middle age. But it is also plenty common outside of those specific ages. Once returned to the fold, these new-old-believers often want and attain a *second* baptism, as a public show of their return to the faith. Are there any Denominations which address a believer's second baptism? What is an overview of the beliefs on this common occurrence? ---------- Note: This question is about *adult* believers who've been baptized, leave the faith, but return and desire a second baptism. This question is not about a believer's desire to be baptized despite having been by their parents as an infant.