Try to find the process id (pid) of the shell, you may use ps -ef | grep <script_name>
Let's set this pid in the shell variable $PID.
Find all the child processes of this $PID by:
ps --ppid $PID
You might find one or more (if for example it's stuck in a pipelined series of commands). Repeat this command couple of times. If it doesn't change this means the script is stuck in certain command. In this case, you may attach trace command to the running child process:
sudo strace -p $PID
This will show you what is being executed, either indefinite loop (like reading from a pipe) or waiting on some event that never happens.
In case you find ps --ppid $PID changes, this indicates that your script is advancing but it's stuck somewhere, e.g. local loop in the script. From the changing commands, it can give you a hint where in the script it's looping.
set -xto the beginning, but that will require restarting it. The only suggestion I can think of is to usestrace, but I don't know how easy it will be to translate its output into the script lines.