If you have created a collection and that collection included Tweets from other individuals, you can alert them that they have been quoted.
To do so, once your collection has been created and published, look at the bottom left of your screen (under the collection you created) and select notify. A screen will come up with the author(s) you have quoted and you can then select notify!
Embedded below is a GIF followed by a 1 minute and 38 second YouTube tutorial.
If you would like to learn more about Wakelet, here is a collection of blog posts I have created (in a collection on Wakelet).