And I'm from Queensbridge, been to many places
As a kid when I would say that out of town, niggas chased us

from Nas – One Time 4 Your Mind Lyrics on Rap Genius

“That” refers to the words of the previous line. Nas would go to other neighborhoods and say “Hey guys, I’m from Queensbridge!” The locals didn’t appreciate his visits, and would run him and his friends out of town.

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