My name shall be passed down to generations
While debatin' up in barber shops

from Jay Z (Ft. Mr. Hudson) – Young Forever Lyrics on Rap Genius

Meaning

People in barber shops still debate the best boxer of all time (like in Eddie Murphy’s barbershop scene from Coming to America.)

Jay-Z knows he will be the subject of future debates concerning the best rapper of all time, as he says in I’m a Hustler (Alternate Mix)

I’m from where niggas pull your card, and argue all day about who’s the best MCs, Biggie, Jay-z or Nas?"

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