give chase vs chase

give chase is not a noun while chase is a noun.

Word	Noun	Adjective	Verb	Adverb
give chase	No	No	Yes	No
chase	Yes	No	Yes	No

As verbs, give chase and chase are synonyms defined as:

Other synonyms of give chase include chase after, dog, go after, tag, tail, track, trail.

give chase (noun)	chase (noun)
	the act of pursuing in an effort to overtake or capture
	a rectangular metal frame used in letterpress printing to hold together the pages or columns of composed type that are printed at one time

give chase (verb)	chase (verb)
go after with the intent to catch	cut a groove into
	cut a furrow into a columns
	go after with the intent to catch
	pursue someone sexually or romantically