I think that nowadays financial independence from parents is very important, but a lot of young people are happy to have a part-time job and to earn some pocket money. In my opinion you must finish your education successfully.
I think that is it really good to start receiving some experience while you are young. If the offered work is not hard and stressful for you and you like it, it is always possible to try it. Besides, the part-time job also gives you an opportunity to understand what you really want to do in your future. And I think it will help you to prepare for a real serious life.
But there are some moments of which every young worker should think. It is worth to think about your priorities: what is really important and what is less important. There is always a danger to become confused. There are a lot of stressful situations. A young worker becomes tired very fast. And the job stops bringing any joy.
In my opinion if you are strong enough to handle this burden, working while studying can be very useful and interesting.