You will receive notifications when someone follows/mentions your account, likes/comments/is inspired by your musical.ly videos, reuses your original sound, asks you a question or invites / joins your party.
To personalize your notifications:
1. Go to your profile page
2. Tap the settings button in the top-right corner, then select push notification settings.
3. You may choose to receive notifications from everyone or only from your friends by choosing between "from everyone" and "friends".
To receive post notification about specific accounts that you follow, go to their profile, tap the "ring" button to turn on the post notifications.
If you need to disable the notifications, please follow the instructions stated in this article.