Pros
AIG is a great way to learn what it's like to work at your typical inefficient "corporate america" company. Also a great way to learn how to deal with working at a sinking ship. It taught me when it's time to leave a job, and that I deserve better. It IS a recognizable name on your resume, though its connotations and links to the recession of 2008 are lukewarm at best.
Cons
Retention rate for entry level employees is apparently less than 10% after 2 years. AIG is a textbook example of the "dead sea effect", where anyone with ambition or talent is driven out of the company to look for better opportunities, and the people that are left are those who other companies won't take due to a lack of technical skills, or interpersonal skills. (Let's just say most managers I've met are usually screaming or yelling at other employees.)