So... I have no idea if it has an actual name, but tongued tied is when a chicken wrapped something (typically string like) around it's tongue and then swallowed the other end.
You end up with a chicken seemingly missing her tongue, and can't swallow.
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The solution (helpfully provided by someone on this form) is to have some one else hold the chicken, and then search around the chicken mouth to find the string, cut the line, and unwrap the tongue.
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These pictures are actually from the first time it happened.
The second time this happened (with a different chicken), the line had started to cut into her tongue, and it was much more difficult to find. Turns out that when the line is that tight, you have to scrunch up the chickens neck to make slack in the line to find the darn thing.
Today, the little girl was trying to eat my shirt, so I think she's feeling better. I'm waiting for her to have a healthy poop before I release her back to the flock.