I have seen this being discussed already, but I did not find a definitive answer to this question.
The chainsaw card says, that you have to leave a noise token on the location you use it. But the colony has no place for noise tokens.
Does that mean you cannot use it in the colony? Because from a logical point of view, that would not make much sense. Why should a character not be able to use the chainsaw in the colony?
Or can you use it in the colony and remove a noise token anyway but instead of putting it on the colony you just put it out of the game? That would make sense, but on the other hand, it might make the chainsaw to powerful to use in the colony?
Unless the item card specifies otherwise, you can use any noise-generating item at the colony. See the Shotgun, for example.