I was wondering if there is a method such that some user can legitimately take over the session of another user or at least can take over a process from another terminal or user???!?!

Say, like I was connected to a Linux box from a terminal and I was in a session downloading or performing some action which would be killed if I logged out or disconnected, but, say, for some reason I have to leave that very terminal and move on to another... so can I transfer/move/shift the process(es)/session I was running over to the other terminal I am moving to, say, I have super user privilege too, then??

Hope it was clear!!

Yeppers

The "screen" utility is designed to do exactly this.

Essentially you open the terminal session, invoke screen, then start your job. If that session closes (depending on HOW you close it) you can later open it in another session (actually you can do it without closing the other one if you wanted to see it on two different sessions at the same time).

Notes I wrote myself about screen a long time ago:

screen -list - Shows screen session names
screen -S <name> - Starts screen session and gives it <name> as name.
screen -x <pid> - Attaches to existing screen session with PID of <pid>.(12-Sep)
screen -x <name> - Attaches to existing screen session named <name>.(NO! 12-Sep)
Ctrl-A - Main command to use within screen. Selected options:
Ctrl-A ? - Gives a list of all options
Ctrl-A 0 - Goes to first window within a screen session.
Ctrl-A 1 - Goes to second window within a screen session.
Ctrl-A <n> - Goes to nth window within a screen session.
Doing exit from within a screen session will fall back to previous window.
Doing exit from all windows in screen session will terminate screen.
Closing window that has a screen session will leave it running and detached.

Thanks pal, I had seen that screen command elsewhere but ignored it then. Didnt know actually such a transfer of processes could be done. I was just preparing to invent some way to do that hahaha