Highly amusing and approved forum name @DoesMyEyeLookSmall!
Constantly waking up 3-4 times a night for no reason? I've been experiencing the same thing for a little while - here lemme figure out for a minute how long it's been.......OK, got it: 42 years. Roughly coinciding (or maybe exactly coinciding, I dunno) with the onset of my episodic CH. My deal may be more accurately described as waking 4-5 times a night, and pretty much always in the middle of dreams, so there's a difference there.
Annoying, and certainly not a good thing, but hasn't killed me yet.
There was a short time when a supplement named "Relax'n Sleep" that contained the usual suspects such as magnesium, valerian, etc., seemed to help a bit, same for just plain magnesium citrate, but then no. I'm not one who is helped by the melatonin or benadryl that the helpful @kat_92 mentioned, but some certainly are, so I figure worth a try.
I personally wouldn't be trying taking a drug like amitriptyline for it, but I try to avoid regular use of the pharmaceuticals in general.
I believe CH'ers are pretty notorious for tendencies to not be the greatest sleepers, whether in cycle or not.