Clinton is unlikely to even be Secretary of State in 2016. The attrition rate for cabinet members is very high. Only one of Bush's 2001 appointees, Elaine Chao, made through his entire Presidency; just three of Clinton's did. Clinton has a higher public profile than most cabinet members usually do, but I still find it unlikely that she will not have shuffled to another job or left the administration entirely by 2016.
True but she couldn't run if she were still for Secretary of State. She'd have to resign by the end of 2014. I'd guess she'll only serve one term at State regardless of any political ambitions.
Yes, if Clinton is still Secretary of State in 2016, then that is a sign she has given up all hope for higher office. A 2-term Secretary of State is not unheard of, however, as George Schultz served as Reagan's Secretary of State for all but the first year of Reagan's Presidency. More likely, as others have suggested, she will either move to another position or leave the Administration after 2012. If Obama wins a second term and Clinton stays on as SoS but steps down in late 2014/early 2015, she is likely (re)running for President. That's why I asked "What will her mindset be in 2015?"