One of the weird benefits of my new sleeping pattern is that I have been remembering a lot more dreams than I used to. When I was sleeping monophasically, I would probably remember an average of 1-2 dreams each month, which is obviously not a lot. Now that I am napping, I have been remembering about 3-5 dreams a week which is a massive increase.
About 6 years ago when I was at university I got into lucid dreaming for a while. In order to do this I kept a dream journal to improve my dream recall, and at one point I was often remembering more than 1 dream each day. The problem with keeping a dream journal is that you really need to record your dreams immediately after waking up, and I would often wake up early in the morning and have to record my dreams, and afterwards I would not be able to fall back to sleep. At the time this was incompatible with my lifestyle so I gave it up after a few months, but now that I am intentionally getting up early and having naps, it seems like the perfect time to get back into this.
I think one of the reasons that I have remembered so many dreams is that I started writing them on my sleep chart, but I have decided that I don't want to clutter up the comments there with long, rambling descriptions of my dreams, so I will try to just write a single sentence about them on my sleep chart and write more detail in my dream journal. A few times I have also been remembering my dreams upon waking, and eventually thought to myself "This is too complicated to write on my sleep chart", which leads to me forgetting about the dream.
A few days ago I started my dream journal, and I have already remembered 3 dreams which is a really good start. I will keep this up for a while, and hopefully I can get some lucid dreams at some point.
If you are curious to try lucid dreaming yourself or read up about it, I would suggest having a look at this site: LD4all. They have some good beginners guides and an excellent forum.