Pros
Chevron is a highly respected, good company to work for. They are a dying breed with the benefits package they offer, great healthcare, 401K and full pension and their salary is very competitive. Overall it is a great, global energy firm with opportunities in the West, South and Southeast, and many locations overseas. Chevron prides itself on a diverse work culture and they deliver! This is one of the most diverse workforces I've come across.
Cons
Like anywhere else, a mix of good and bad with the people. While Chevron preaches "The Chevron Way" it can vary from BU to BU. My personal experience could get pretty awful at times, but the job and benefits kept me around. Also, I went through 9 "reorgs" in 20 years. I finally left after the last one. Getting promoted is next to impossible in some BU's, external hires can sometimes keep you down. Better at the manufacturing BU level. If you want work life balance, you will not find it here. Expect to put in long hours and weekends, especially since they keep reducing the size of their workforce.