This peak forms the ridgeline splitting the Palisade and Dusy Basins (not the peak in the Mono Recesses). The East Summit is clearly the highest point (12,250'+), but the West Face has the most interesting climbing. Most parties climbing this face are satisfied with the West Summit (12,240'). Secor seems to suggest that the West Summit is the true summit, but several route descriptions (the SW Face and W Chute, in particular), could only be describing routes that visibly reach the East Summit.
It is possible to traverse from the West to the East summit. The West Summit - which has a register - appears to be climb on average once every two years.
East Summit Routes: NE Face West Chute SW Face SW Chute - the best descent
West Summit Routes: West Face Wilson Route (aka the North Face or the West Face, Left) Keith-Lowery Route (aka West Face, Right) SW Buttress - the best descent
Reference: Secor, The High Sierra, 3rd ed., pg 238.
Follow the main trail from South Lake to Bishop Pass, and descend to the highest lake in Dusy Basin. Great bivy sites exist on the lakes southwest shore.
The K-L Route (aka the West Face, Right in Secor's guide) starts half-way between the West Face and the SW Buttress. Look for right-trending corners and ramps for two pitches, then follow ledges and blocks up and left for three pitches to the West Summit....[more]Browse More Classics in CA
Sorry for a four-year-old response to your questions: I dropped off Mountain Project until recently.
I've guided the Keith-Lowery Route and the West-East Traverse with guests, found a topo of the Wilson Route in the summit register two years after the ascent, and solo'ed the Southwest Chute, Southwest Face, and Southwest Buttress.
After guiding in the area for seven years, I felt that this was worthy objective in its own right, but needed further clarification. The descriptions in Secor's guidebook sometimes confused the East Summit and West Summit routes, as best as I could tell by numerous trips into Dusy and Palisade Basins.
I've included all the routes that I'm aware of on these two summits to help with routefinding.