Rock Paper Scissors game in Python
Looping

Rather than setting a done flag and looping while not(done): (note: this would usually be written as simply while not done:), you could use a formulation more like:

while True:
    # do things
    if loop_should_end:
        break


This removes the need for the flag and makes the loop easier to follow.

Logic

At present, comp is set outside the loop, so the computer will always guess the same thing. This makes it rather too easy to win - you should move comp = random.randint(1, 4) (note whitespace) inside the loop.

Comparisons

The most obvious tweak is that the canonical replacement for lots of elifs in Python is a dictionary. In this case, you could look up a tuple (comp, guess) and print the result:

RESULTS = {
    (1, 3): "Rock beats scissors, too bad!",
    (2, 1): "Paper beats rock, tough luck!",
    ...
}


then access this inside the loop as easily as:

print(RESULTS.get((comp, guess), "It's a draw!"))


You could also simplify:

stop = input("Do you want to quit? ")
if stop.lower() == "y" or stop.lower() == "yes":


to:

if input("Do you want to quit? ").lower() in {"y", "yes"}:


Validation

You currently have no input validation, so the program could crash with a ValueError if the user types 'scissors' instead of 3. See e.g. "Asking the user for input until they give a valid response" for guidance on this.

Structure

Finally, it is bad practice to have all of your code running at the top level of the script - it makes it much more difficult to re-use later. Instead, I would do something like:

import random

RESULTS = {...}  # possible outcomes

def get_int_input(...):
    """Take valid integer input from user."""
    ...

def game_loop(...):
    """Main game loop."""
    ...

if __name__ == '__main__':
    game_loop()


This will work exactly the same if you run the script directly (see "What does if __name__ == “__main__”: do?") but allows you to use e.g. from wherever import get_input_int elsewhere, simplifying reuse and encouraging modular design.