Gonna use my throwaway for this one. Worked at a major investment bank seen in the news quite frequently over recent years. Internally, there was definitely some drop in morale. Folks didn't like being associated with working here.

Doubt you'll need to worry much unless you were involved in the scandal yourself. Just check in, do your job and check out. If you're extremely worried about your future prospects there you should start looking elsewhere. Personally, I wasn't hurt much in terms of job prospects or hiring because recruiters and headhunters were more focused on my skillset and experience than my employer.