When snoozing a conversation, show an alert such as "Why are you snoozing this?" or "What do you want to remind yourself about when this snooze comes up?" Ability to enable such a feature on an individual user basis.
I regularly will write myself a comment about the current state of things or what I need to be reminded about when the snooze comes up.
I second this motion as well, with one more detail: add a checkbox or something to choose whether the note should be "public" to everyone ("Hey team, now that this has been snoozed for 3 weeks, I'd like to hear if anyone has any new ideas on this topic"), or "private" to only the person who wrote it ("Now that 3 weeks have passed, check this thread to see if intern Bob made sure to take care of all the necessary steps in this project before the 3-week deadline deadline.")