Read this john resig on strict mode
"use strict"; is as important in client side javascript programming as in server's.
If it is not supported by a browser it would do no harm as it is just a string plus a semicolon .. which would do nothing if not recognized correctly by an interpreter.
With "use strict"; mode .. if your program runs correctly even in one of the modern browsers like chrome then you now know that your program does not have any silly errors. After that you are good to go on any other possible browser because as I said it would do no harm if not interpreted correctly.