Cheers.
That's right, you can only get one Dicee! per run. The main reason I chose to remove that mechanic is I think it serves to undermine an exciting two player game. Once someone gets a second dicee, the winner is most likely decided at that point.
To a lesser extent, chasing Dicee's can lead to frustration to some degree, so i like that the decision to remove it also makes for a generally more relaxing vibe when you can only get one dicee!
Its also a point of difference from the original ruleset, albeit a minor one.
But yeah, its mostly to keep multiplayer games exciting right up until the end of a match.