Part time is the norm is certain industries, not all. In the business sector it's not common, at least not that I have seen (15+ years and counting).
That being said, unless your in a union environment, any employer has the right to terminate you at any time, full time I am talking about, not part time.
Part time has it's perks but also it's cons, ie: lack of benefits (unless spouse has benefits).
Educate yourself as far as you can, get work in a service industry.
Paying the bills is important, full time welfare is for lazy losers.