Where does “coil” come from?

Coil comes from Middle French coillir, from Latin colligo meaning to gather together, ultimately from Latin ligo meaning to bind.

coil (English): Something wound in the form of a helix or spiral;...

Definitions

coil traces back through two separate lines of ancestry.

Step	Language	Word	Meaning
1	Middle English	coilen	To gather, collect, or pick (flowers, fruit, etc.)
2	Old French	coillir	to pick
3	Old French	cueil	—
4	Old French	cueudre	alternative infinitive of coillir
5	Latin	colligō	to gather, draw, bring or collect (together), assemble, pick up; contract, draw up, compress, concentrate; harvest
6	Latin	com-	allomorph of con-
7	Latin	con-	Used in compounds to indicate a being or bringing...
8	Latin	cum	with, along with; at; -fold
9	Old Latin	com	Alternative form of cum
10	Proto-Italic	kom	with, along, at
11	Proto-Indo-European	ḱóm	beside, near, by, with
12	Proto-Indo-European	ḱe	Deictic particle, here; Post-positional...
13	Middle English	kyt	—
14	German	kitt	putty certain kinds of cement used for fixing e.g. window panes
15	Old High German	kuti	—
16	Proto-West Germanic	kwidu	gum, resin
17	Proto-Germanic	kweduz	resin
18	Proto-Indo-European	gʷet-	resin, gum; to say, speak
19	Proto-Indo-European	gū-	to bend; curve; arch; vault; to bow, bend, arch,...

Step	Language	Word	Meaning
1	Middle French	coillir	to gather, pluck, pick, cull