During my first attempts at LDing I was working the most unregular shifts ever at work. But that didn't keep me from eventually having a recall of around 7 to 10 dreams a night, not to mention the fragments.
I even got a LD or 2 during that time.
Although it probably took me a bit longer then most people who have a regular schedule.

As long as you give yourself some time when waking up to remember your dreams. If you can get some decent and relaxed sleep it will work out just fine.

But if there's no reason to not have a regular schedule it's definitely worth getting.