When I was a med student, the key was to make use of every minute at the hospital as much as possible. Usually there's a fair amount of down time which is potential study time. Make sure you have a review book and/or a question book so that you can do some work during those periods of down time.
Like you, I was also exhausted when I finally got home, so studying at home was never that fruitful. Once I made it a point to work in the hospital, I found my time studying to be much more useful in addition to providing the benefit of not feeling guilty about actually relaxing when I was done for the day. In a worst case scenario, I would get to the hospital 30-60 minutes before I needed to, grab a coffee, sit down at the in-hospital cafe, and do some studying before starting clinical work.
Alternatively, I can never focus much while in the hospital, but do well once I get home. So to avoid the exhausted post-work crash, I used my downtime to nap in the call rooms. Usually after rounds the residents would say "OK, get xyz done, we'll get together at 1 to work on procedures, etc". So I'd get my stuff done quickly, and then take the hour or so that would usually be a lunch break and zonk out for a while, quickly wolf down my food and be back before they expected me.
My residents never noticed; I got more than my expected amount of work done and they were all busy or eating during that lunch hour anyway. Sometimes I'd get an even longer stretch, and then I was able to get work done when I got home.
Alternatively, just being in the call room was helpful for my studying, so if I wasn't tired, I'd still set up in there and get more done. I'd even go there to get my notes done, pages in, etc...there weren't enough desks at the main station for students, so it was expected that I'd disappear and go find a workstation somewhere else, as long as I got my stuff done. Way more relaxing to close the door, have a room to myself, kick off my shoes and white coat, and write notes with my feet up, then lay down and do UWorld while I waited for pages to get returned.
Half of the exhausting part of clinicals is feeling like you're "on" and under scrutiny constantly, so finding ways to get some time alone, even if you're still working, can do wonders for your energy levels.