Converting integers into Unary Notation
This is a very interesting task. Good work on doing it. Here are some criticism. 




print('If your integer is a negative, the script will ask.')
print("DO NOT GIVE -X integers for input!!!")
print('Script will output multiple - symbols for a negative integer transformation')




Do not use both double quote
("") and single quote ('') strings. Pick one. I personally prefer "".



while 0 == 0:
  ask = input('Enter an integer from a subset-sum instance sequentially.')




It's considered a best practice to indent using 4 spaces instead of 2.
Also it would be better to move actual transform functionality to a new function.
Also it's better to use while True instead of while 0 == 0 to indicate a endless loop.


Reason: This is more readable. 




  askStr = str(ask)
  res = list(map(int, str(askStr))




You are converting ask twice to a string. This is redundant. 
Since input() returns a string you don't need to convert this at all.
It is also a better to use python conventions for names. Ex: ask_str or value



  x = (res)




You don't need parenthesis here. 
There is also no need to assign to x you can directly use res.



  if asktwo == str("y"):
     twinkle = str('-')
  else:
     twinkle = str(" ")




You don't need to convert a string literal to a string again.
You can directly use "y" as a string.
twinkle is not a good name. Use something like sign.