Crying at a new job is not normal, and she definitely needs to make a change. That said, I do think that complaining about pay and upward mobility after only a few months at a new job raises a few red flags. Did she not know her pay when she accepted the job, and are her promotion expectations reasonable? I'm not saying this is her, but I've known a few young people over the years who thought they should be CEO right out of school and required a reset of expectations once they moved into the real world. That's going to be a problem anywhere that you're working for somebody else.
In any case, I've left a job after only three months. It's not a problem if you handle it correctly.
Standard explanation: "After joining ______ I learned that they value X while I offer Y. I respect the way they have chosen to run their business, but I am excited to talk to you because I think we might be a better mutual fit."
A few good questions I've learned to ask to assess the culture of an organization are:
- What is your total employee turnover in the past twelve months?
- What characteristics do you most value in employees for this particular role?
- Tell me about the most difficult project you have personally worked on. What most frustrated you? How did you handle it?
That last one is particularly good at disarming fellow non-managers and getting to any core company issues.