That "useless clock" is actually a significant engineering challenge: how do we design a system that lasts 10.000 years? Are you sure that no valuable insight came from the project? And before you reply, think of how many valuable insights we got from what some could consider the "useless manned mission to the Moon", in hindsight.
The goal of the project is to build one that can be understood by a primitive society, which has questionable application to modern technology.
Additionally, things like corrosion and wear resistance performance will be measurable after just a few years of operation.
There is an entire field of engineering, Reliability Science, based on the fact that we can predict the lifetime of a system based on a combination of accelerated tests and detailed physical models.
There's famine, there's lack of clean water and toilets, there's lack of potable water, etc, etc, etc...
I'm a defender of "pure science", but there are better engineering projects to challenge yourself with.
Also a lot of the countries with problems have political issues as well as sociatal ones which makes solving the problems hard.