I think if you talk to your supervisor, and the people around you, they are the best source of information on how they measure and/or value the clock. Totally depends on your company culture.
In some places, when you're salary the concept of "late" has basically no meaning. So long as you show up for important meetings with co-workers and clients, you get things done, and you turn your work in when you say you will (because deadlines still definitely matter). Being in the office beyond this often has a very high networking and collaboration benefit to you, especially before and after "official" work hours, because that's when much of the networking happens, so I generally try to be around beyond just when most people are there at least a few days a week, but that's my personal approach.
Back to your question, some people who are salary still carry the concept that "work" is done between certain hours of the day. However, your workplace can also be the other way around, where deliverables and measurables are the only thing that matters, and when you're physically in your seat makes absolutely no difference. When I transitioned from being hourly to salary within the same job, it was very hard for me at first to shake the "I need to be here exactly between time X and time Y," because that's what I'd always known.