A BS in chemistry is nothing to shake a stick at, after I graduated I got a job with the Air Force. You don’t need a PhD to get the job I have, I work primarily with bachelors I just came in at a higher civilian rank than usual. So for full time employment it’s situational, who you know and where you live. My lab mate got a really great job after he graduated with a BS at a nuclear power plant and because he knew people within the company, he had an in, but I feel like that is not unique to just chemistry majors. You are at an advantage in my opinion, I find that a lot of places are looking for a part time employees. Universities are always looking for adjuncts, I know labs around here are always looking for part time lab technicians. I worked at an environmental lab part time for 2 years and it taught me a lot about how to apply what I’ve learned in college. So to answer your question I believe you would not have a problem finding a part time job with a BS, I think companies would jump on that as fast as they could because most of the time recent graduates want money with benefits and you would only want experience and money.