I recently had the valve lash adjusted on my '71 LT1 (not by me; I'm not THAT patient), and I still have clicking sounds coming from the number 8 vicinity. The sound does not get quiet upon warming up. Assuming the valve lash was done correctly, what else might I be looking at?

Ear plugs?   

A solid lifter engine is expected to make some noise. If the adjustment is done correctly, tho, you should not have one (rocker arm) making more noise than the others.
1) Not adjusted right
2) Bent/damaged pushrod
3) Worn rocker arm
4) Bad lifter
5) "Flat" cam lobe
6) Weak/damaged valve spring/retainer

Was it adjusted hot, or cold?
Are you sure it's not an exhaust leak in that area?

Is the noise the reason you had them adjusted in the first place, or is it a free "Bonus"?
Adams' Apple38593.777025463

The valve lash was adjusted hot, and I had it done partially because of the noise on number 8. Obviously, it must be one of those other possible causes. I guess I'll start with the exhaust leak angle (since that's probably the easiest to determine), and work up in difficulty. Thanks for your response.

A follow-up for those who are interested:

It was an exhaust leak. I changed-out the headers, and put in used OEM exhaust manifolds. Since I'm running mufflers in my side-pipes anyway, performance shouldn't change. Also put in plug shields and ran the wires down and up the back of the engine; cleaner, and less likely to be roasted!

Nice job. Good to hear everything worked out.
Do you think a stethoscope would have pinpointed the problem sooner?

Glad to hear it wasn't a major malfunction!

To answer dwight's question - yes, a stethoscope might have helped, but if I was a doctor, I would have just paid somebody to do the work!!

Seriously though, it would have helped, though I must admit that my diagnostic skills are WAY behind my mechanical skills (such as they are)....................live and learn.

Actually, a stethoscope could help a lot with a mechanical noise, but won't help find a gas (exhaust or vacuum) noise.  The lack of finding a mechanical noise would help  indicate one of these.

A vacuum hose or piece of heater hose used like a stethoscope works very well for this type of noise, but won't do much for the mechanical noise.  If the hose is too small, like a small vacuum hose, it is more difficult.  3/8 hose works very well.

A combination of the two is very usefull.