Interesting thing observed today:
I was flying ORD-OMA on UA3558... That aircraft came in from DCA as UA 3454 which arrived 10 minutes late (no reason listed, presuming weather based in my own inbound).
As we pushed off the gate (before the display cleared) the bottom line was displaying "3454 ALL CNX HELD" -- which if the crew communicated that to the inbound passengers I'm sure would be appreciated -- perhaps even helping connecting bags make it as well.
Originally Posted by
UAreLUVd
A "PRIORITY" flight is one that may have numerous passenger connections or may have a very tight ground time when doing a turn or through-flight at an outstation which could impact the down-line schedule of the aircraft, connections, crew duty.

Interesting; I had assumed that the flight/AC that prompted this thread was RONing in CLE based on the relatively late afternoon flight -- and likely no connecting passengers -- but it looks like it spent about 70 minutes on the ground before turning to DEN (arr 1602, dep 1713) -- that doesn't seem like it would be a "very" tight turn... Perhaps crew duty then?