I have put dozens of stories aside that were in their first chapters, mostly because I had a different project I was focusing on. I've let them sit years, and have since picked them up and written a few more chapters, or done a bit of brainstorming, and then put them aside once more.
For bigger, more significant projects, I have a few different scenarios. I have two or three from when I was in school that I wrote hundreds of pages on and did a lot of brainstorming, but ended putting them aside for 'simpler' projects. A few of them I doubt I'll ever pick back up, because I've grown out of them.
Then I have my two 'big ones'. By big, I mean the ones I have spend the most time on, written the most pages, and completed the most drafts.
My current WIP (Mulgrin's Quest) I started when I was in high school, but only wrote a chapter. I let it sit for probably 3-4 years before picking it up and writing a full draft. Then I let it sit another year (I think) and picked it up again, at which point I started working on it seriously and making actual writing goals and deadlines with it. I got so discouraged with it last September that I was hardly able to write at all, and in November I realized I needed some distance and I put it aside. I picked it up promptly after Christmas, and have been going strong since.
The other one was started when I was in grade 10. It was meant to be a 'simple' story, but every time I wrote the thing, it got longer and longer and more and more complicated. Soon it grew into a mammoth epic fantasy, which I doggedly worked at for years. I got really caught up in world building, (attempting a language, maps, histories of separate nations, kingdoms, politics, magic, etc.) and time-lining future and past events.
At some point I realized that this project was a little too ambitious for my current level of skill, and I put it aside, choosing to shift focus to Mulgrin's Quest. It's probably been a few years since I've worked on it, and it will be many years yet before I pick it up again. However, even if a decade or more goes by, this story is very near and dear to my heart, and I have no doubt I will pick it up again.
I feel that any story can be picked up again. There have definitely been things I haven't touched for 5-7 years that I still plan on picking up again. Sometimes I just randomly have the impulse to work on a project I had almost forgotten I started. You never know when inspiration will strike!