Thanks for the additional info, hotelwhiskey7. I did start one of these a week ago without knowing what cycling meant. As a result, I ended up filling in a third of the grid without cycling certain answers and cocked it up to the point where it was either redraw the grid (couldn't be bothered) or abandon the project (much easier).
This week's puzzle has proved much less of a challenge - at least in terms of filling in the grid. But drawing the 10 lines is completely beyond me, unless I'm trying to create 4 letters! But if I am, then the letters aren't creating anything that I can tie in with the theme. I also have no idea where to look for the cryptically equivalent clues, although I think I know what one of them is, or what the blank cell does.
In summary, I think I find the instructions to these crosswords more of a challenge than the answers to the clues. Once I know for sure what I'm meant to be doing, then half the battle is won...
Stay alert,
Suzannah