Sorry. There is no obvious queue, no obvious stop action, etc.
Consider what a new player sees. They press a button, wait a few seconds, and get the result. They keep doing this -- press a button, see what happens.
Your description of a queue, and improving on the next run -- that sounds like either Idle Loops, or Cavernous -- and both of those make it absolutely clear from time zero that there is a queue and a need to restart/redo over and over.
Nothing like that is apparent when playing this.