1. Would we see characters from the other games? Would the setting stay the same, or would the story take place elsewhere?The Chrono series of games isn't Final Fantasy, Tales of, Breath of Fire, Dragon Quest, Legend of Zelda, or any of the dozens of other RPG series that have no connection between game titles save for themes and play styles. In the relation between Cross and Trigger, theme and play style were actually two things that weren't the same, but many characters and the world setting remained the same. I hope a third title would continue this.
2. Time travel, dimensional travel, or (oh god) both?I would like to see a return to time travel. Maybe with a few dimensional variances thrown in for good measure, but as the first word in the game titles says, it's about time. (Chronos = time) There are an endless number of eras and stories that are untold in the Chrono world's timeline to pick from.
3. Akira Toriyama or Nobuteru Yuuki? Or some new blood?I'm a fan of Toriyama, since getting fansubs of DBZ and playing Dragon Quest on my NES, and I remain so to this day. Yuuki did a great job for the sequel though, so either one would be a welcome designer for new or recurring characters in a fourth installment. (RD didn't really have any artist design did it?)
4. A huge team of playable characters like CC, or a smaller team like CT?Something smaller than what Chrono Cross had would be nice, as most everyone who has played it will attest that Cross had far too many characters that they just never used. Keeping a smaller cast and allowing a greater connection to the personalities and flavor each individual character adds to the story is preferable.
5. Battle transition for encounters (CC), or fight right on the field (CT)?Either way works, so long as they continue to stay away from the dreaded RANDOM ENCOUNTER~!
6. A battle system like the other titles, or entirely different?I would like to see more of the first title's battle system. Not a clone of it entirely, but more individual moves and abilities as well as the combination attacks that made the first game's battle system so damn fun. I've often tossed around some game ideas for combination systems that change with the relation of one character to the next, with stronger personal bonds and more battles fought together would strengthen or change possible combination moves. Something along those lines would be fun.
7. Console or portable?Considering both previous full RPG titles in the series were top notch in graphics and sound at their time, I would expect a new title to be so as well. Console.
8. Is it possible that both CT fans and CC fans alike can be pleased?Yes and no. Some fans liked both CT and CC, some fans likes CC more than CT, some liked CT more than CC. Inevitably, no matter how good a new game is, somebody won't like it. It is possible for a good 80% or so of fans who liked both Trigger and Cross to appreciate the new game, but you can't please them all.
9. Is there hope for another game in the first place?It's definitely been on the books for Square for a decade, and with the CTDS release refueling the fanbase into making their voices heard, perhaps SquareEnix will finally give this project a green light, and reassemble the team of designers that made the first two happen.
And yes, FFXI needs to die. It's past its peak, and it's time to move on to different projects. Let's not let it run on forever and ever like World of Warcraft.