If you have someone jump-start your car battery or recharge your battery to full capacity and still only get clicks after turning the ignition key, then your starter may be faulty.
A new starter can cost you $130 from you local auto parts store. It's very simple to replace. All you need is to disconnect your battery, disconnect the 2 wires off the starter, and remove the two bolts that hold the starter against the transmission. You'll have to remove your air intake pipe in order to get better access to the starter underneath.
Before buying a new starter, you can also test your starter after removing it from your transmission. Check this out:
http://video.google.com/videoplay?docid=2632758778132843605&q=honda+civic+starter&total=5&start=0&num=10&so=0&type=search&plindex=0
Good luck!