Rayc - if you are still around (the post was quite old but I researched and found it for my problem) I would like to thank you for the hints.
Like Darren, my outfit was playing up. Symptoms, similar to Darren's, were: upon switching on the fridge 12v following connecting up, the light came on OK but as I was in a hurry to depart the first time of using our new (to us) caravan, I just assumed all was in order. Well, that was last June, and a couple of trips later I noticed that after about 5 seconds the light went off again and two seconds later it came on. Relay clicks off & on. So I thought I would 'get round' to checking it. This year first two trips the same, then yesterday set off to come home after our third trip away and no light. Quick check fuses - all in order. Stopped after an hour and a half for our lunch, and it started to work when we started to continue home, but still intermittent. So I decided to do some research and came up with your very helpful replies/advice.
Just before our evening meal today, I followed your tips and got as far as checking the output from the car (which I knew was OK from using out previous 'van but went through the motions anyway). I got 13.6V and with a 65w halogen headlight bulb on load, it only dropped a bit, to 12.9V. Now we both know that it only takes a smidgeon of voltage to activate a relay, so my money was on that just as 'er indoors called me in to eat. Eagerly, I returned to the task in hand, popped in a spare new old stock relay and voila! All working as it should. Over the next few days I will unclip the relay cover and I expect to find corroded contacts, which will be cleaned up to provide me with a spare. Interestingly, the resistance appears to be the same on both relays so my money is on the contacts.
Thanks again, and I hope the foregoing is of use to other contributors.
Pete
Edited to add: contacts were corroded just enough to prevent continuous running. Cleaned up and now stood by as spare. I suspect that the previous owner may have not pre-cooled via mains overnight before setting off. Of course this is not always possible, esp when caravans are in storage, but popping a few ice packs in the freezer compartment overnight can be a great help to the poor old 12V!!
Pete