Update May 2009: One approach to the recession taken by many companies is to turn their full-time employees into part-time workers. Millions of Americans experiencing this have come to appreciate that part-time is still far, far better than no time at all.
Most part-time jobs aren't what they're cracked up to be, when it comes to getting paid quickly. I'm not knocking the concept, but if you become a server at a restaurant or flip burgers at a fast food outlet, a retail clerk and the like -- it's probably going to be two weeks, at best, before you receive that first paycheck, and I'm sure there are circumstances where it'll work out to three or four.
That said, it is a good way to get quick cash sooner or later.
But there are other ways you can get a part-time job and can get paid faster. The problem, of course, is distinguishing the reputable from the rip-offs.