Unfortunately Chess (unlike Go) doesn't have a good handicap system. When playing without a piece (or two) it is not chess anymore OR it doesn't really matter.. During how many games does Queen's rook come into play during early middle game?

Go, on the other hand has a nice handicap system (which doesn't change the nature of the game too much). One can have a fighting chance against a much stronger player with enough handicap (Upto 9 stones). In Chess terms, an IM can have a _decent_ game against a GM. Probably lose. But the GM has to work for it.