I've also been curious about TT's for a while, but don't want to make a berk of myself/come dead last etc at a club.
My compromise was to find out my local clubs' course and have a go on my own on a quiet weekday morning with no one looking.
I recce'd the course in the car & found the start/finish paintmarks on the road then went home and got the bike.
I rode 11 miles to the start line, took a big swig of water, reset the cateye and went for it.
29 mins 42 secs later I finished - almost puking at the finish line !
I rode the 11 miles home (slowly!) elated that I'd broke 30 mins
then....checking the standards on the VTTA site for my age (48), I was brought crashing back down to earth....it appears my time was ok..for a 67 year old!
seriously though, have a go, At least you can say you've got a TT PB time if anyone asks
LR