TJ Maxx is a store that sells heavily discounted clothing for various reasons such as out of season, out of style, or some kind of defect in the garment.
When someone is TJ to the Max, that means they are wearing clothes that may have one of the above characteristics. It is a pun of being "TJ" which is Tijuana, Mexico and dirty or old.
Jessica: Did you see Jose sporting that fresh gear?
Edward: Man, that fool is TJ to the Max. He can't afford nothing, besides his Rockawear pants are missing the leather logo belt loop on the back, probably got it on clearance for that defect.
1. The coolest anything can be. This short, simple phrase perfectly conveys the Platonic ideal of Awesomeness. No matter how many other positive adjectives are strung together to describe something, they cannot amount to more than this.
2. The highest appellation bestowed by The King of Rad. Very few have received this honor throughout the ages, though many have tried. It is usually given without prior knowledge or expectation of the recipient, as the truly cool know what they are and really don't care all that much about other people's opinions.