Ditto what Dan B. says
Use Castrol superbike oil, which differs from the synthetic car equivalent only in the friction modifiers mentioned.
It is very easy to "ride" the clutch in a Caterham due to the positioning and lightness of the clutch pedal, this may not be noticeable under part load but will greatly increase the temp and wear the plates.
I have used a standard clutch with preloaded springs (washers) and also the kevlar plate type with "car" synthetic oil both for a couple of thousand road and track miles, but will be using superbike oil from now on, - although the plates are probably contaminated.
Also I dont do drag starts even when racing, at the last race of last season an identical Caterham blackbird driven by a guest racing driver had outqualified me to first place. I only used part throtle and about 3K revs to get off the line and booted it once traction made and clutch fuly engaged, I am sure the other driver must have used loads of revs as he dropped back nearly to the back of the grid on the first lap.
How many miles are you doing and how are you treating the clutch before problems?
Is the clutch releasing fully if hydraulic as mentioned or if mechanical do you have free play?
Is the engine dry sumped? - oil temperatures can get very high using a Mistral or other modified sump, this may affect the clutch operation dependant on oil used etc.