Depends on if you think you might use it. I've known people who used it for clinical volunteering, worked as an EMT during breaks (but this was always back at their previous job so they didn't do a lot of shifts), or did a few ride alongs since they were interested in matching EM. However, odds are it won't be useful for you as a medical student/physician.
I would also first look into the requirements for your state before deciding if you're going to renew (ie independent vs. in a system, amount of continuing education hours you'll need). For instance, I was an independent when I first renewed it because I was in school and didn't have the chance to actually work as an EMT. I didn't even think it was worth renewing for this reason because I thought I would need a bunch of CE hours, but when I actually looked it up it turned out the classes I took in college counted for it since I wasn't part of an EMS system and all I had to do was send in the paperwork.