I've been doing this business for a while now, at first it was very difficult, a lot of rejections but now more and more businesses realizes that it is something they have to have as almost everyone has a mobile device of some kind and access the net using their mobile devices, so it took off pretty well after promoting it with various methods, mobile websites are now more in demand then desktop sites and I never had any customers not liking my designs, I do it hand coded, I don't use software as the customers always comes back for edits and its easier to edit if its hand coded.
so the answer is yes it is a good business once you can get going with your regulars and if you of course do a good job.