She is a beautiful chinchilla.
Lets start with the big one...malocclusion. Tooth issues cause the eye to weep when the disease has progressed so far that the root has invaded the sinus cavity. For this to happen, the chinchilla would also have at least one really long tooth in the mouth. Before the eye can become affected, the chinchilla would have also had serious eating problems, and should have had some wetness around the mouth. I do not think it is a tooth issue.
The eye itself looks clear and I don't see any signs of squinting or mucus in the eye so I don't suspect any serious eye injury.
If it is in both eyes, I'm guessing it is probably due to dust. If the ac is blowing right at the cage it could also be from wind.
Sometimes eyes weep when a chinchilla has a respiratory infection, but if she isn't coughing and her nose is dry you are probably ok there.
Since you got her from a pet store how sure are you about her age? I have noticed, in my own herd, that a lot of my older chins will begin to keep a little oily look around the eyes.