Currently it is possible to do next things while door is opening:

1. Have two operators, one on industry, one on science. Industry operator have +2 wit item. Right after getting industry pause game and give item to science operator. You gain both increased industry and food income from wit bonus of single item.

2. Right after gaining science when door is opening, but before animation is finished start new research. This door would count as it was opened after research was started.

3. Have hero that is one level below operator skill gained in room with module and not enough food to level up him. Right after gaining food when door is opening, but before animation is finished level up that hero. This door would count as it was opened after hero started operating thus hero would give operate bonus on next door.