There are two main common uses for Helicoils:
1. In Aluminum, or other galling-type metals, where parts will need to be assembled and disassembled often, without ruining the tapped hole over time.
2. To repair a hole where the original threads had to be drilled out because of a broken screw/tap or damaged threads, etc.
Sometimes (often) they are used in softer metals with the mistaken notion that they are somehow stronger. In reality they are no stronger than the outer tapped hole that the insert goes into. In other words, they are as strong as simply using a larger screw with the same threads as the outside of the Helicoil. So if the parts are to be assembled only once, there is no practical reason to use the inserts.
They are retained due to their outward springy character. They are inserted by turning a tang, which tends to contract the spring and let it turn in easily, like on a wrapped-spring clutch. Once the tang is broken off, they remain firmly sprung in place.
Don
Kansas City