I have tested the search result UI using the source code from current master branch in google chrome 8.0.552.237.
When I search for a text in a specific table it goes to result window and in that the tab navigation bar  and the search in database panel  repeats twice. A screen shot of the issue is attached here.
I have retested the issue using the firefox browser but in that case it is working without any duplication.
And also I have tested the PMA 3.3.7 version on google chrome 8.0.552.237 and it is working without any duplication.
My testing environment contains following specifications.
OS - Ubuntu 10.10
Server - Apache 2.216
Mysql - 2.5.0
php - 5.3.3
Browser - Google Chrome 8.0.552.237