He 'walks a/the razor edge' [='walks a/the fine line'] between humor and bad taste in his comedy.
A glass of milk will 'take the edge off' your hunger/appetite. [=will make you feel less hungry]
a company that is at/on the 'leading edge' [='cutting edge'] of new developments in technology
(..) you want to watch for, because you can never predict when they're going to do something incredibly stupid. Aaah! You're off the edge of the map, mate. Here there be monsters. Right! What would you pick to eat first? (..)2003 Pirates of the Caribbean: The Curse of the Black Pearl