It seems that you are proposing two different things (a time-out and an ability to clear the search). It is important for all feature request topics to propose only a single idea, so that the discussion and voting can be interpreted without ambiguity.
There are also existing Feature Request topics for the ideas that you have suggested, so I would recommend that you add your support to those topics (by commenting, and by voting after your forum account has been promoted from “new user” to “basic user”):
I will close your feature request as a duplicate, but feel free to open a new feature request topic, if you have ideas that have not previously been suggested.