Files with .LUC extension are compiled LUA scripts. see LUA script in LUA format.
When LUA files are compiled using a LUA compiler, they become binary files — these binary files are the LUC files you see in The Witcher (PC).
LUC files can be decompiled. I have used LUADEC 0.6 to do the job and I managed to decompile the majority of the LUC files. However, it seems that LUADEC 0.6 can not handle some of the LUC files in The Witcher: sometimes it gives an error, sometimes it totally crashes. Looks like an unfinished project — there is a bug report in their tracker about this.
To quickly decompile all LUC files, I have created a batch file containing the following commands — feel free to re-use it(note, how do you use it?):
@echo off for %%f in (*.luc) DO LUADEC.EXE %%f > %%f.out