Add a Hashtag (or search) for Twitter to follow, and expect IF notification.
If
New tweet from search
This Trigger fires every time a new tweet matches your search query. Limited to 30 tweets per check, and protected tweets will not be returned.
Then
Send a notification from the IFTTT app
This action will send a notification to your devices from the IFTTT app.
Discover more time saving integrations for Twitter and Notifications