The answer is, it depends.
To get the Spine animation file to run in a Construct project you will need a plugin (just like with Spriter). The last I knew, the creators of Spine are not building these plugins. The are working on a json exporter which can be used to create a more generic plugin but, I have not yet found any specific plugin which has been built for Construct to make use of the json files created.
A few months ago, I took a look at both Spine and Spriter to decide which to get. I chose Spriter because there is a plugin being developed by Lucid so I didn't have to write my own.
<Link so people who find this thread will know where to get it>
If you prefer Spine you have 2 options. First build the animations in Spine and export to a series of sprites. Second, develop your own plugin (or find a developer who will) to run the animation file Spine puts out.
I hope this gives you the information you need.