Android uses the term flinger in e.g. the Android Surface Flinger library, which purpose is to combine different surfaces from different apps to the fully composed image that is rendered on the screen.
But what does the term flinger actually mean?
Update
Looking at the Anatomy - Physiology of an Android slides, the term flinger is used both in Surface Flinger and Audio Flinger, as the "device" that combines either the visual surfaces or the audio output from multiple applications into a common stream that is sent to hardware. Thus is seems the flinger term is unrelated to the word finger, despite the similarity.