A new way to display and store the users saved searches would
be useful. It should allow:

  the user to order their searches so they can choose the display
     order of their searches.

  a select box to choose/trigger a search.

The use case is the following:

Imagine a user with 60 searches. In the current layouts, there
would be 60 links at the top of the left hand column. Also the
order of the searches is not settable by the user, so s/he has
to scan a lot of links to find the search they want.

In a mobile/responsive interface you have to do a lot of scrolling
to get to the right search or to bypass all the searches to get to
additional items in the left menu.

These changes would allow:

  the user to select some number (e.g. the top 10) of searches to
  display in the left column followed by a select box where the
  additional searches can be triggered.

Supporting code would have to be written to:

  allow the user to change the order of the searches

  provide an action that redirects the user to the search
     selected from the drop down menu