Has Search Part
Specifies if the List as a 'Search Part', controls on the UX that allow the user to enter criteria to filter the records shown in the List.
Once the Has Search Part is checked, the Search pane will open.
These properties will help define the search part.
This feature is central to building disconnected applications, but should also be of great interest to developers of traditional desktop web application.
For detailed information about this feature see Creating Disconnected Mobile Applications.