Olaf,
We are on Windchill 10.1 now, but migrated last fall from Windchill 9.1. We don't have strict control over our client machines like some companies, and so had a mix of IE versions. I know several people in my company that were running IE 10, including myself quite successfully. Typically when M$ releases updates on Patch Tuesday, they get applied.
I don't remember anything special we did, other than the usual security and privacy settings on the browser. We typically set our Windchill server up as a Trusted site. We also set the Security Level to low.
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We also add the server as an exception in the Popup Blocker under the privacy tab.
I have had to add the server to the compatibility list for some users but not others so don't have anything to offer there.
-marc
CAD / PLM Systems Manager
TriMark Corporation