I'm all in favor of liquid time. I've found the system extremely conducive for an RP environment, allowing for a multitude of plots to develop at the same time without the real-time wait for replies. However, if we do use liquid time, I would recommend the use of timestamps to better sort through the threads and give some semblance of chronological order. Timestamps are essentially dating the threads so that both the readers and the RPers can easily see what happens when during in a thread. For example, August 2nd, Morning, 2015.
The problem with timestamps is that it'll become more difficult for characters to transition between threads. Like, what if a character wants to reference an event that happened in thread 3 while in thread 1, but the timestamps make it so the event is in the character's "future". It really makes things very complicated.