I've heard that lymph nodes can collect the 'debris' from tattoo removal, which breaks down the ink. I'm not a doctor, but I've never heard of a tattoo causing lymph glands to swell from "taking in the ink" and I don't think he is right. Frankly I don't even know what that means; taking in the ink???
Do your research. If this is a legit diagnosis, you'll find it on medical sites through a google search.