"I have no hot or cold water coming through the taps at all"
Are you sure nothing has been turned off? Any of the valves under the boiler etc as it is very unusual to loose the water through both taps.
"The central heating works fine"
Even though systems that seem to be sludge free can damage boilers id say (8/10 times) you wouldnt be happy with the central heating if the system was sludged up. (However many may disagree!)
"When it went wrong there was a a constant clicking before I switched the boiler off"
Ive got to be honest without water going through to the taps I couldnt tell you what to look for at the diaphragm. As you need to be opening/shutting the hot water tap to see how the diaphragm pin behaves.
Respond to the message after youve checked the valves etc and il look back on and see if i can help anymore
P, March 2010