In Beijing, wouldn't think so, unless you plan to never leave home except for work. 

2000 is really not a lot, a trup to Burger King costs 40-50, bit of bus-tickets, a new pair of socks. 2000 is gone quickly. 

Yes it's fine for you.. You must be coming on CSC scholarship program. You can definitely save something. But what amount can you save? this depends on the place you are appointed at. In Beijing, my (2+1 persons) expense was 2500-3000 monthly But now that I am in Qingdao my monthly expenditure is 2000... (2+1 person)

Plus on the other side there is an off the record secret I d like to make you happy is that there is a 50-60% chance that the Professor who will supervise you for your PhD degree will also provide you some allowance apart from the scholarship money. At least that's what happens in Beijing. Not sure about other places. For more details you can PM me..

Invest in a rice cooker and some simple cooking instruments if you are allowed. Eat at your school's cafeteria and you'll be fine. And please do not work part time teaching English.

I would concentrate on studying and not bother about thinking about saving from 2000 RMB.

Even if you saved half every month at would take you almost a year to save enough for a return ticket to a western country.

You could easily blow 2000 in a single night out.  And that's without a happy ending.

So, assuming your flight home is paid for etc, I suggest you just enjoy yourself. You will be penny pinching on 2k as it is.