Open the Settings App.
Go to Apps - Installed Apps.
Scroll down to find the Snipping Tool app.
Select the app and chose 'Advanced Options'.
Perform the Repair option and the Reset option on the app.
Then check if that resolves the problem.
If that does not resolve the problem, completely uninstall the Snipping Tool app and restart your PC.
Then download and install the latest available version of the Snipping Tool app from the Store.