The garcline is probably the anglicised version of the German name, which is Garklein-Flöte. The Italian name is Piccolo.

Garklein is an old German expression, which would nowadays be "sehr klein", it means "very small"

My father always makes the joke that the next smaller version is called a "Garkein-Flöte" (note the missing "l") which means "no flute at all" in English.

(Flöte means flute or recorder)

HTH MudGuard