Mosaid Tower is not exactly quality climbing, but the summit is one of the better ones in the Monument. The route climbs the obvious crack near the notch of Mosaic and Acrylic Towers. It is more or less straightforward crack climbing with a bush here, some junk there. This leads to a funky crux, right above a slab, that will get you to a large ledge.
You could below off this ledge, but it's probably easier to just continue to the top. Step left of the ledge, and run it out on slab climbing to an anchor. A few dirty moves gets you to an amazing, dinner table-sized summit.
To access Mosaic Tower, start at the upper trailhead to Thoroughfare Canyon off of Little Park Rd. As you walk down canyon, Mosaic Tower will be the best looking tower in the group of three towers on your left. The route starts at the notch between Mosaic and Acrylic and is approached from the down canyon side of the towers.
I believe I brought a double rack from small to number #4, but I vaguely remember it's more on the hands and smaller end of the spectrum with a #4 for the crux. A single 70m rope is a little short in getting you to the ground, but you can downclimb the crack to get the job done.