The latest dev channel release of www-client/chromium (hard masked) has optional support for building with the system sqlite package instead of the bundled copy.
We all prefer the system copies of course, so please help testing this new feature. All you have to do is to enable system-sqlite USE flag and recompile chromium.
Please note you might hit some issues with browser features that use sqlite. They may disappear after starting with a clean profile (~/.config/chromium). Remember to back up the old profile, and please report any issues to the Gentoo Bugzilla.
Enjoy your latest www-client/chromium!