If you put someone on revocable waivers and someone claims him, you receive a note letting you know who claimed that player. If you delete that message, there's no indication of who claimed the player so you no longer know who your potential trading partner is. It would be nice if, somewhere on the player card, it noted which team made a claim for him. I would probably put it on the "Waiver Status" line (Claimed by mhulshult), but it could also go on the "Transactions" tab of the player card.
I know, I know, "Don't delete the message." But it'd be nice to know if that info were available on the player card.