Chimney Rock, located right in HVCG, has a few nice routes - Pinched Rib (5.10b), a short bolted dike, The Flue, an oft overlooked fun 5.8 handcrack, and West Face Overhang (5.7) are the most popular. Damper (5.9), just left of Pinched Rib, is a good wide crack to practice your fist jamming/offwidth technique.
The new road into HVCG passes directly by the south face of Chimney Rock. The quartz dike is Pinched Rib. If that isn't enough direction, find Intersection Rock and walk NE.
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Mountain Project's determination of some of the classic, most popular, highest rated routes for Chimney Rock:
Featured Route For Chimney Rock
Pinched Rib 5.10b CA : Joshua Tree National Park : ... : Chimney Rock - West Face
Not much to say about this one. A pretty fun - albeit short - route. Follow the quartz dike past 2 bolts (crux at second bolt). Belay in crack (hand size cams) and descend west down 4th class chimney.Descend by heading right and down a slabby but improbable looking crack....[more] Browse More Classics in CA