gcc update
 

I'm trying to install pouetchess (http://pouetchess.sourceforge.net/faq.php) on my Slack 10.2 pc. This FAQ says it was compiled with gcc 4.02. When I compile it ends in an error right after seeing that I have gcc 3.3.6. Maybe a gcc update would help. How would I do this since everything on my pc was compiled with gcc 3.3.6?

You can install GCC4 locally so it doesn't interfere with the rest of your system, and use it to build this app. Really though, if you just want to play the game why don't you try the binaries that the developer offers on the page you linked to. Much easier in the long run...

that binary gave me another error-I'm missing a library that the binary was made with. Hopefully that won't matter if I compile.

How do I install gcc locally? Don't make install?

During the configure you would specify the install path as /usr/local/gcc4 or whatever.
This site has docs and faqs to get you started:
http://gcc.gnu.org/

If the game needs that library to function, then it needs that library. Doesn't matter if it is compiled by you or somebody else.

Unless it is something that can be explicitly compiled out, but that is not always the case.