When someone does not change who they are or what they believe due to societal pressures. Especially true with regards to someone who has attained some financial success but does not change their behavior. Alternatively, may relate to someone who maintains connections to their ethnic background in a multicultural environment.
Example 1: I criticized Netanyahu in front of my Jewish boss. I was keepin' it real.
Example 2: At work, I might wear a suit and tie, but if I come in on weekends, I keep it real with baggy jeans and a hoodie.
Example 3: Who the fuck pays $50 for a cab from the airport? I keep it real and just take the bus.
Example 4: Some gora was complaining about the smell of my dal in the microwave. But I keep it real and eat the same shit I eat at home.