In webkit browsers, tab-based navigation fails when using the skip link since the browser fails to leave focus at the new target position. After using the skip link, tabbing moves the focus back up to the top of the page just after the skip link instead of leaving it at the target location.
To fix this issue, the target of the skip link must have the tabindex="-1" attribute.
The default location of the skip link target is the #main-menu nav element in page.tpl.php. If you use Panels everywhere, this element is in the pane-navigation.tpl.php. If you have overridden either of these template files, this element must be updated.
Before:
<nav id="main-menu" role="navigation">
After:
<nav id="main-menu" role="navigation" tabindex="-1">
If you have changed the default target of the skip link, make sure the new target element has the tabindex="-1" attribute.