The phrase 'stern chase' keeps popping into my head. There are a few ideas under that umbrella though. It could be a group trying to escape from behind enemy lines as their pursuers close in, or a ship (sea or space) trying to ourtun some pursuit or reach some objective before it's too late.
Either way, the Pressure clock mechanic from Band of Blades is hovering nearby. Whether or not there will also be a time clock will depend on what premise I go with. If there's an objective other than "Stay Ahead of Pursuers", that could be where it pops in.