cutter vs gig

cutter and gig both are nouns.

Word	Noun	Adjective	Verb	Adverb
cutter	Yes	No	No	No
gig	Yes	No	No	No

As nouns, gig is a hyponym of cutter; that is, gig is a word with a more specific, narrower meaning than cutter:

cutter (noun)	gig (noun)
a cutting implement; a tool for cutting	a booking for musicians
a boat for communication between ship and shore	small two-wheeled horse-drawn carriage; with two seats and no hood
a sailing vessel with a single mast set further back than the mast of a sloop	tender that is a light ship's boat; often for personal use of captain
someone whose work is cutting (as e.g. cutting cloth for garments)	long and light rowing boat; especially for racing
someone who carves the meat	an implement with a shaft and barbed point used for catching fish
someone who cuts or carves stone	a cluster of hooks (without barbs) that is drawn through a school of fish to hook their bodies; used when fish are not biting