meabby, this week's Listener is of the "jigsaw" type. That means it is a process of solving as many clues as possible first, then seeing if you can fit them into the grid. You are given that the answers are in alphabetical order, which gives you a bit of help from the start, and you get a bit more information as you solve clues, but you can't at first put anything in the grid, so you get no help from crossing letters.
The good side is that this means the clueing has to be relatively easy, otherwise the whole thing would be near impossible. The clues to this puzzle are, by Listener standards, very straightforward, though a certain amount of "difficult" vocabulary is used. "Getting started" is the easy bit: see how many clues you can solve by yourself to begin with (remembering the clues from the alphabetical order). If you can solve enough clues, it might be worth playing around with seeing if you can put answers in the grid. But most of us can remember that solving even just one or two Listener clues was a worthwhile achievement in our early attempts. The important thing is to keep trying each week, and to see how all the clues work when the answer is published. An analysis of every puzzle appears at
http://www.crossword.org.uk/gregson.htm
The other thing that will help is the right set of solving aids. Chambers Dictionary 2003 or later is essential, but if you get the CD-ROM you have the option of using wild-card searches and even scanning the full text to track down definitions. Another excellent aid is Bradford's Crossword Solver's Dictionary. Sorry if this is teaching grandmother to suck eggs, but I don't know your previous experience.
The Listener is great fun and well worth persevering with. Good luck!