The tape trick works well. Another way is to dip the screwdriver in alcohol (isopropanol, do NOT use water) and put the screw on its tip. It will be held there until the liquid is evaporated, which should be sufficient to put it in place.
Watch the soft pad between the rear camera enclosing and the top side of the frame, especially when reassembling. After replacing the battery, my camera pictures gradually showed lots of dust spots. I opened the device again and discovered that the pad had been displaced. However, I am not fully sure if that is the reason for the spots.
Despite being VERY careful I managed to split the upper connector head from the cable. Strangely, after reassembling the device I cannot find any malfunction. I wonder what the connector is for…