I have noticed that certain layers cannot load on chrome but can on firefox.
I've been experiencing a similar issue in that I cannot view the login page for arcgis.com in certain versions of Chrome in OS X. Specifically,
Firefox and Safari work fine, but Chrome has been my primary browser for years. This problem just became apparent a week or two ago.
We are having private content issues with a webmap that we host as map service on our ArcGIS Server v10.0. None of the layers from our Map Service will load when using Chrome, and IE generates a secure content warning requiring user input prior to loading the layers from our server. I have not had any issues using Safari. Browsing maps with private content has shown that this behavior appears to be relatively common using Chrome.
DA