Does the ParentScope need to remain plugged in to the computer I am monitoring?
No. You only need to plug the ParentScope into the target machine(s) once to install the monitoring components. This generally takes less than 60 seconds. You can then remove the ParentScope and take it with you. You can simply plug your ParentScope into another computer any time you want to monitor the target computer(s). Nothing is ever installed on the monitoring computer because everything is self contained on the ParentScope.