I drive a 2000 Jeep Cherokee, not a Grand Cherokee, but the no longer manufactured Cherokee.
It's great. I ordered it with the optional Up Country suspension and it has about 12" clearance; I've taken it around Mono Lake in the sand, and on old mining roads on mountainsides that are kind of crumbly on the edges. It is very narrow with a very short wheelbase; people are surprised to discover that overall it is shorter than many, if not most, small sedans. The short wheelbase means that every tiny bit of clearance is used to best effect.
I strongly recommend it; but good luck finding one since they were discontinued in 2001. The supposed "new and improved" replacement, the Liberty is considered awful off road and has about as much clearance as an early 1960s sedan - 8" or so and a longer wheelbase.