I do this all the time on guitars and electric basses, but I do it with a length of "L" shaped aluminum molding with self stick sandpaper. You can pick up some 1/2" x 1/2" molding aluminum with about a 1/16" wall thickness at just about any hardware store, and cut it to convenient lengths. It slips right under the strings, and I just move it from one string to the next as needed. It's great for finding and dealing with problem spots.
Once the instrument plays well enough, I take off the strings and crown and polish the frets.
I don't see it being needed with ukes for exactly the reason Chuck mentioned. Uke necks just shouldn't move around enough to be an issue. Guitar and bass necks are different and can pull into less than ideal relief.