I hate games that put you under time pressure, so I'm trying to think of a game that has this "one minute" theme without it affecting the gameplay as a timer. I don't want a countdown or a count-up.
At the very least, I think I will make any time-based mechanic a bonus rather than part of the core gameplay.
Anyone else thinking this way?
I guess I could always look as "one minute" as a measurement in degrees rather than a measurement in time!