Dream about something sitting on your chest denotes a fear of emotional impotence. You are protecting yourself from getting hurt. Perhaps it is time to acknowledge your former wrongdoings. It signals your need for patience. You need to be on your guard about something.
Something sitting on your chest dream denotes the rational and mental processes. You need to show more of your nurturing and caring nature. The information that you are receiving from others is being filtered. Your dream refers to the protective mother. You are being mislead into thinking that you have the freedom to do whatever you want.
If you dreamt about something sitting on your chest:
Someone will try to use you like a puppet. Be careful of other people taking advantage of your talents and calling on you to do things that are not in your job description. Your amenable nature may be quick to say yes, when really, you should say no.