I'm a huge fan of gaming speed runs. The only ones I've really ever attempted are Donkey Kong Country 2 and 3. I own them. Don't mess with me on them. I frequent planetquake.com, which has speed runs for tons of games, but none for Trigger Cross.
I'm wondering if CT and CC are speed runnable? If so, they'd have to fall into different categories.
TriggerFast Run Starting with a fresh game, time it takes to beat Lavos. Must revive Crono.
Quests Run Fresh game, must complete ALL sidequests.
Power Run Start with New Game + at any desired level. Must complete all sidequests in game. I think this would be the only way to do a new Game + run, because then basically the game would come down to everyone running right into the telepod, and seeing how fast they can beat Lavos. Another option is to have a cap starting level (ex: 60).
CrossFast Run Fresh game, must use Cross to free Schala.
Power RunNew game + (possible cap level), must use Cross to free Schala.
I'm wondering how interesting the runs could be. I think the biggest turning point would be how people approach different enemies, as in defeating them, running away from certain ones but not gaining exp, etc. As far as actually running through the game, it's pretty much be the same until you get to the sidequests.
The problems rely in reliability. First off, I don't think anyone would use PSX. I THINK the loading times for battles actually does cut into clocktime, which would be an automatic bad time for anyone using one. Then you get to the people using SNES or roms. Roms could be a real problem, between the hacking and the savestates. But, I think if people were completly reliable and trustworthy, we could have some interesting competitions.
Edit: The last two paragraphs obviously only apply to CT.