If someone has been staring at you, then such dream indicates your actual fear of being seen or known by other people. Maybe there are some secrets or aspects that you do not want to show them to others, but better keep it for you. If you have been staring at someone, then such dream reminds you to look at the same things twice in your waking life, because very often the first opinion about people or particular situation is wrong. On the other hand, the staring as the act, denotes to laziness of the dreamer to start doing things properly.
Staring dream meaning
Read more about dreaming of Staring in other dream meanings interpretations.