This place is infamous.
Once I heard a University of MN-Twin Cities class of 2000 alumnus talking about how he'd driven from Minneapolis to Madison (four hours) basically for a sandwich at Jins - and this conversation was in 2005!
The previous commenter majorly underestimates - usually on weekends in particular, there was a line between ten to thirty minutes! If not more! Even when it was fricking FREEZING outside, it's Wisconsin! and most people were hammered.
The point is waiting is an experience, since people are so messed up, you'll probably either see a fight or guys hitting on women like asshats or dancing to the 90s rap played by the tv in the window of the trailer. Go sober, the spectacle is something.
Jin's started offering expedited service for an additional $5, you could walk up to the backdoor and get your sandwich next. When you're drunk and don't give a damn, that's a good deal.
A friend of mine at one point was going EVERY SINGLE NIGHT, no lie. To the point where he actually became so familiar with the owner that he GOT A JOB WITH JIN'S, which is ridiculous since, as others have already noted, it's like two people working in a trailer, they really don't need the extra help. Craziness.
Never tried the fish but the chicken is really great.
Granted, once when I'd had a few adult beverages, I ate two and felt like I was about to die...
Where exactly this place is now, or if it will be around in the future, I'm not sure, since they were having issues with the city. I know students hope it'll be around forever.