I've played around with a thumb ring. The release is about as clean as it gets without a mechanical. The one I got doesn't fit very well so I won't shoot my hunting bows with it. The heaviest I've shot is a 35# selfbow.
You can shoot either side of the bow with whatever hand you want. It's very adaptable. If shooting right handed with a right-hand bow, you need to do a bit of a fixed crawl down a 1/2" or something small or the arrow comes off the shelf. It's best to do an opposite hand setup (right-handed off a left-handed bow). An ambidextrous bow gives you a lot of options.
One of these days, I want to try out one of the Asian-style short recurves. I can see them being very useful in the field for an experienced person.
It's an entirely different style of shooting, though. Anchors are different. sight picture is different. Draw length is different (will affect arrow spine). It almost has to be a dedicated setup. It's way easier and cheaper to just clean up your release the old fashioned way (practice) than to try to learn a whole new style. If you just want to clean up your release, get a super light girly-weight bow and work on it there. But if you're looking to learn a new style, there's plenty of fun to be had with thumb release shooting.
Joel Turner has a video or two about his choice and technique for shooting a thumb release. he uses a wide, floating anchor on one setup -- something I can't really figure out. Worth a look, though.