One who is reppin' his swag to both sexes of the human race. Their 'uniswag' is shown and is attractive to both males and females, regardless of sexual orientation. Someone who has 'uniswag' has the equivalent to over 9000 units of 'swag'. They're usually 'bawlin' with men and women all over them on a 24 hour 7 day week basis. They never have time to talk to you, for they are maintaining their uniswag.
Person 1: Did you see Jesse Murphy the other day at the party? He had his Uniswag on!
Person 2: I guess he got his swagga back