Answer:
I had this problem when my 2003 trailblazer was under warranty. I took it into the dealer twice to try and have them fix it. The first time, they told me there was a software patch to fix it. They said they put in the software patch, but it wasn't fixed. The second time I took it to the dealer, they said this noise was normal. Now, a little over a year later and outside the life of my warrenty, my fan clutch is really broken (refer to question on high fan speed error in a Chevy trailblazer for details on the problem I am currently having - which include a jet engine like noise caused by the fan because the fan clutch is broken) and I am waiting to get it into an independent shop for service.
I don't know if the ticking noise was really normal as the dealership indicated or if it was an early indication of the failure I am currently experiencing. Good luck. I am going to keep searching the net to see if I can find any additional info about whether this ticking noise is "normal" or whether it is an early indication of my current failure. I may even call some other dealers in my area to see what they have to say about the problem.
Wife and I bought a 2002 Trailblazer and would hear that clicking (or snapping) under the hood, infrequently. Took a trip this summer and truck started sounding like your jet or a turbo Peterbuilt. It WAS the clutch fan. Bought it at AutoZone for $199 and installed it myself