Just below the Grand View Point sits the Grand View Spire, a relatively unclimbed tower in the Monument. Much of the rock is crumbly, loose, and/or not very hard so watch out. The summit is interesting since it's situated in between Independence Monument and Kissing Couple.
Getting There
The tower is usually approached from above, on Rim Rock Drive. Enter the park from Fruita and head up the winding canyon to the top of the rim. About a mile past the visitor center, look for the sign for Grand View Point on the left. Park here, walk down the trail for about 70m and you will see where to go for the tower.