Hi @DH thanks for posting to community!
You can add bookmarks while enjoying Pandora in the mobile app, however, you can only view them from your computer.
These bookmarks will show up under My Profile, organized by album, track or artist. To remove a bookmark from your list, click on the ellipsis next to the title to reveal an overflow menu. Choose Delete Bookmark to take the title off of your bookmark list.
The bookmark will only mark the song, you won't be able to use this to playback the songs.
If you have any suggestions or feature requests for Bookmarks, I recommend visiting our Feature Request forum. You can create new requests or like those requests from other listeners that you'd like to see on Pandora.
Thanks again for being part of community!
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