I've been using Resolve a bit recently (did a bit of colour correcting for Paint.) and I thought I'd post some quick impressions on how it is for editing animation.
First off, Resolve is an extraordinarily powerful piece of software and the fact that it's available almost fully featured for free is amazing. This also means that, as pointed out earlier, it won't run smoothly unless you have a relatively powerful PC. I'm using a mid-range laptop (this fella) and I have no hope of being able to smoothy preview my film. I used Davinci to finalise my film, but had to use premiere elements (which I do not recommend) to check the animation was smooth and create the soundtrack prior to using Resolve. It's not a perfect workflow, but it'll do until I can upgrade my desktop. One of the most important specs is the graphics card, you need a graphics card and it has to have CUDA support (you should be able to find out whether it does on the manufacturers site). When I started using it I encountered a couple of errors, including one saying "No OpenCL Acceleration Hardware Detected". If you do encounter that but theoretically have the specs, this method might solve your problem (also make sure all your drivers are fully updated).
If you do have a system capable of running Resolve, then you're in luck, you now have access to a professional editing and colour grading suite. As you'd then expect, it's a bit daunting at first. A good overview to how to use the software can be found here to give you an idea of what you're doing. A neat thing for animators is that if you have a series of images in a folder (say IMG_177 - IMG_485), Resolve will assume that it's an animated sequence and so import it as a single media file with the frame rate of your project. This would be especially useful if you're exporting raw frames from something like DragonFrame (I wouldn't know though as I don't have it), this may actually be a standard feature in NLEs, but this is the first time I've encountered this.
The edit mode will be pretty familiar to anyone who's used Vegas or the like and it's relatively intuitive. In answer to Dewfilms query, I believe you can have unlimited audio and video tracks.
The colour mode is what makes Resolve stand out from the any other editor freely available as this is what it is really for. If you have any interest in colour correction or grading, give Resolve a try. The system is based upon 'nodes', which are basically adjustment layers, but with more possibilities. I have to admit though, I really don't know much about colour correction/grading and I've only used it for simple things so far, but there's no better way of learning than trying for yourself. One thing to keep in mind while in this mode is that Resolve is designed to be used with multiple monitors, especially when using scopes (scopes are useful). This mode can also be used for chroma keying and a whole load of other things. I'm not sure if there's a particularly easy way to remove light flicker in Resolve, but you can use keyframes in a node to adjust specific frames.
Resolve is also reasonably good for exporting projects in a variety of formats (including Digital Cinema Package if you're looking to screen something at a festival) and is quicker at rendering than most other things I've used.
As I say, I've barely scratched the surface of what Resolve can do, but if you can run it, give it a go. I hope some of this has been useful, feel free to ask me any questions.