Linux Lite is based upon Ubuntu so hopefully you can install x3270 without compiling from source. I installed 2.4 in a VM so hopefully 2.2 is similar. After I installed the restricted extras from the software GUI tool I then installed x3270-fonts via the terminal command
sudo apt-get install x3270
Then just enter the command x3270 in a terminal window and hopefully the x3270 emulator will start... Otherwise you will need to download and compile x3270 from source.