I make them the day before and set them in a glass cake stand. Everyone sees them and they disappear like magic. The secret is to keep the batch small so they're fresh for your snackers.
Strictly speaking, these aren't chai popsicles; they're tea-with-milk-and-sugar popsicles, but if you use chai tea or concentrate, well, there ya go. This sounds very weird, by the way, but it's actually extremely refreshing--a popsicle for adult palates that children might like too.