Does anyone else's hamster ever just lightly put their teeth on your finger when you're holding them? I find it adorable but scary! It's like they're telling you to put them down, but they dont want to hurt you. They probably just smell food though
Yes some do that when they want to get put down. I always listen to what the hamster is trying to tell me. It's advisable to wash hands with unscented soap before handling or hands could get mistaken for food.
Yes, it's like a warning. They learn to do it when they are young and playing with their other siblings. It's a way of communicating with you that they aren't happy about something. So, you are probably right in your thinking that she wants to be put down and not held any longer.
One of my syrian girls did it to me after I gave her antibiotics to let me know her displeasure. They do it gently though.