Chockstone Chimney 

Second pitch is in above this climb. Mixed conditions at the top. Placement of ice screws can be tough, bring rock. Anchor at top is a bit away so be sure to bring two ropes of have a hairy long down climb.

Eds. reference to an incorrect photo:

I've posted some newer photos of what the guidebooks say is Chockstone Chimney (the old McTiernan guidebook is actually better for identifying these climbs than the newer Roberts guidebook -- that is assuming McTiernan got it right :-).

This is a fun route that is not hard. The views up and down the route (especially looking up under the big chockstone) are very cool.

Here's one way to do it (in the conditions we found). Walk under the first chockstone, climb a short ice bulge, continue up low angled slopes to a screw belay at the base of the larger ice bulge. Climb the steep bulge (left), or simulclimb up (right) on snow under the big chockstone. Continue until the next moderate ice bulge (the gully narrows here), where you can establish a screw belay. Climb to the top of the ice, then make a short climb/traverse trending left (on crappy rock) to a snow ramp which leads to the top. There is loose rock here, and it will get funneled onto the belayer, so position the belay wisely.