Publishing my posts on my Computer

HELP!
After I write a post and publish it to this blog, it take DAYS before I can see it on my own computer (unless I log in as myself, and view it through "Edit Posts" under "my account".)
Has anyone else come across this being a problem for them? How can I get this to stop? Do I need to clean out cookies somewhere or clean out my cache files?
HELP! I need some techincal advice!

Bloggers and techies help me!
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