I don't know if anyone else has noticed it yet, but on the Android version, I keep pressing the screen to advance the text but there's always a delay and sometimes doesn't do it at all. The only way I can advance the text normally without problems is the auto play feature.
There may sometimes be a delay due to how needed assets are being loaded in progressively with each time you move on to a new text block. Most noticeably, when returning to the main menu, you will have a few seconds of lag because of asset loading, which we haven't optimized yet.
So, depending on the hardware, you might sometimes see slight lags in terms of progressing. Sometimes it may also be intentional, say during scene transitions where usually half-second pauses are added to reveal things more gradually and not add the textbox right as the transitions stop. Tapping the screen during a transition should skip it.
As far as not progressing at all sometimes, we tried reproducing this on our end, but it seems like the text only doesn't progress when pressing the screen and slightly dragging the thumb across instead of clean pressing. AKA it only progresses when it detects a solid touch press and not an undecided press or a touch motion. This might be the problem you're reporting.
With v0.3.2, we have changed the internal workings of the game's input handling quite a lot, and will continue to refine it in the next versions taking your feedback into account.