Well, what you said was,
Chin Ups/Pull Ups do not work the elbows, so you should not be feeling any pain there unless you are doing it wrong.
When one says that an exercise "works a joint" one implies that one is working the muscles that move that joint.
There are causes of elbow pain that can occur with chins even if the chins are done correctly.
OP--does the pain only occur while you are actually doing the chin or pull-up? Or does it continue afterward? Is there any swelling? Have you tried neutral grip? Does it occur with pull-downs? Can you find a weight light enough that that doesn't bother it?
I'd suggest backing of for a week or two, then starting pull-downs with light weight, and building up to full pull-ups/chins, and gradually build volume.
oh okay. if I ever feel anything weird going on with my elbow, I usually massage around the area and then its fine, so I don't ever have any elbow problems. I think when something gets tight and does not get loosen, thats how pain comes. The bigger the knott, the bigger the pain. I rely on massaging trigger points to get rid of pain, aches, whatever. If it was a sprain or strain or pull, that would be different. Massaging areas has always worked for me.