1. A computer-implemented method comprising the following operations performed with at least one processor: presenting a user interface having a visual representation for each of multiple ongoing conversations involving a recipient user identity who is associated with each of the conversations; monitoring message activity of the recipient user identity with respect to one or more of the multiple ongoing conversations based on interaction of the recipient user identity with one or more incoming messages; identifying an activity level associated with each of the ongoing conversations for the recipient user identity based upon the monitored message activity, wherein identifying the activity level comprises determining if at least one unviewed incoming message is associated with a conversation most recently viewed by the recipient user identity; determining a relative hierarchy for the ongoing conversations based on the activity level associated therewith; queuing a lesser active incoming message upon reaching a predetermined number of incoming messages; and dynamically reordering, in response to an incoming or outgoing message, the ongoing conversations displayed in the user interface based on the relative hierarchy, such that a conversation having a relatively high activity level is positioned to reflect hierarchical prominence in comparison to another conversation having a relatively low activity level.