I got a djungarian dwarf hamster roughly 4 weeks ago. She is roughly 12 weeks old now. She doesn't seem scared at all, and comes out of her house to check me out when I open the cage up. However, she almost aggressively checks for food in my hand when I put it in the cage, and even starts biting into it to see if there is something edible. The cage is of appropriate size, and she seems otherwise active. The biting is of different strength, sometimes only nibbling, sometimes biting hard, but it does not seem like she is biting out of aggression or fear--when she finds the food in my hand, she will eat it directly in my hand peacefully, but will then promptly proceed to bite into my hand to find more food.
She is getting appropriate amounts of food (roughly one tablespoon of dry food mix specifically made for dwarf hamsters, with the occasional vegetable or seed treats) and I've tried increasing the quantity to see if this behavior changes, but it does not seem to--she even leaves some in the bowl if I do this, and shows the same behavior. I've tried unscented soap and even gloves, but she will just try biting into the gloves instead. If I hold a toy that's usually inside her cage, she will also try biting into this.
Is there any way I can teach her to not bite into my hand or skin, and get less eager about her food when my hand enters the cage?