For Chrome it won’t. Google did not build a reader into Chrome. They want you to use the separate Google reader.
I see it in Safari but it has a lot of extra spacing. Also it doesn’t validate.
You might try
-deactivating all plugins (yes, all) to see if this resolves the problem. If this works, re-activate the plugins one by one until you find the problematic plugin(s). If you can’t get into your admin dashboard, try resetting the plugins folder by FTP or PhpMyAdmin (read http://bit.ly/UhpkLl if you need help). Sometimes, an apparently inactive plugin can still cause problems.
-switching to the Twenty Eleven theme to rule out any theme-specific problems.