Pros
The best reason to work at Chevron are all the talented and fun people you get to interact with everyday. Whether working in a field location or in an office environment there is a very diverse group around you. I have always felt that 99% of the people I have worked with would lend a hand even when their own workloads are full. I also really love the flexible work schedule, I could never go work for a company that doesn't offer a 9/80 schedule (you work 9 hours a day, 8 on every other Friday, and have every other Friday off). Also all of my supervisors have been very supportive of taking all my vacation time every year and needing to leave early for doctor appts or house issues. I also think that our 401k package is very competitive. Its an 8% match for only a 2% contribution, and managed through Vanguard with very reasonable fees/good mutual fund options. The great thing about an international company, is that there are opportunities everywhere. I think that the company works to ensure that its people are in jobs and locations where they would be happiest, obviously you can really see this in high performers. The work has always been challenging and different. I haven't really ever been bored in any of the various roles I have worked in.
Cons
I think that with any big international company it is very easy to get bogged down in red tape and bureacracy. I understand the need for processes but sometimes it does feel like things move really slowly. Also I think Chevron in general tends to analyze information to pieces, there is always a push to get more data and therefore we are further slowing ourselves down. One of the big downsides of working for Chevron and living in California is the daily abuse from friends or even random people on the street about either how evil we are to the environment or gouging the public at the pump. Some locations where Chevron operates have a much better view of the company, but in California a good attitude towards any Energy company would be tough to find.