#No, it can't be kept.
No, it can't be kept.
During Season 7, the penalty was pretty harsh (permanently and irrevocably retired, as guildbounty's answer indicates). However:
##Consult the D&D Adventurers League Player & DM Pack for updates.
Consult the D&D Adventurers League Player & DM Pack for updates.
When Season 8 released, they changed the guidance to be more general and less strict. You can remove it from the character and resume play with that character.
Specifically, you're looking for the Content Catalog. On page 5 of v8.07, there is a list.
###Items That Were Never Legal for Play
Items That Were Never Legal for Play
Some items have never been legal for D&D Adventurers League play. Characters that possess these items are automatically retired from play until such time as the items are removed from their character sheets.
Bookmark and the Ring of Winter are on the list.
As items you're not allowed to have anyway, they do not have a table assignment, which means they don't have a TCP cost.