Your running script should be unaffected by a change I think. I just did a very simple test though so I can't guarantee for any script, it may depend what you edited.
I created a script that prints a number to the screen, pauses then prints the number again.
I ran it, edited the script during the pause to assign a different value to the variable (after the pause instruction), but it still printed out the previous value again the second time rather than the one I edited in during its pause.
