gear lever vs gearshift

gear lever and gearshift both are nouns.

Word	Noun	Adjective	Verb	Adverb
gear lever	Yes	No	No	No
gearshift	Yes	No	No	No

As nouns, gear lever and gearshift are synonyms defined as:

gear lever and gearshift: a mechanical device for engaging and disengaging gears

Other synonyms of gear lever include gearstick, shifter.

gear lever (noun)	gearshift (noun)
a mechanical device for engaging and disengaging gears	a mechanical device for engaging and disengaging gears