A quick search of the threads here for mesquite will bring up some pics of some of Jack Kompmans cues that use it. I am sure that he would be happy to e-mail pics of mesquite cues to anyone who requests them as well.
There may be several reasons it is not used more, one of them may be that due to the small size and non-linear growth of mesquite trees, decent sized mesquite lumber is very hard to come by. Also, most of the lumber that is available is fairly plain and has very little figure or interest to it. I mill my own mesquite, and the more common varieties like honey mesquite are not very pretty unless they have some serious figuring.
As far as it having too much resin to dry fast enough, I don't know. I do know that it is easily stabilized by either the boiling or the DNA methods, and that as long as it has the pith removed, it will hardly move at all during drying whether it be air, kiln, or chemical drying. This is due to the fact that the cross grain, radial, and linear shrinkage rates are closer to each other than almost any other wood in the world.
