The right side petcock on my 2000 FE400 will weep, but only while actually moving it. I have a spare (for a KTM) that is ready to be installed if it gets to the point of constant leaking. You might want to take it apart and tighten everything up/ replace any O-rings or gasket if it is to the point of concern you indicate (although it would be interesting to watch I wouldn't wish that occurrence on anyone here).
:bounce5: A safety tip; Don't play with matches while working on fuel tanks