Do you have indicators, washers or flashing lights control?
If you activate the rear wiper does this work?
Is it the same click you get when activating the front?
It sounds to me like your relay may have become loose. Disconnect the battery, disconnect all wire harnesses from the passenger side footwell and then reconnect each and every one in turn ensuring its fully engaged. If this works and you still hear a click, it sounds like the wiring from the box to the motor may be damaged, but my gut is yelling its just a loose connection.