How to get out of support projects?

I’m currently working in a support project and whatever I heard from my seniors and fellow guys at work is that nobody stays with this client and company for more than a year or two. I joined here as a fresher with some really good dev skills but the work and tech here is not allowing me to put them to use. I’m feeling like quitting from here, but again need to brush up my skills as I did not put them to use over a period of 14 months. Also there is a lot of micromanagement going on and I’m not comfortable with that. No one takes ownership of work and tries to push it to you and make you work on it.