cage in vs cage

cage in is not a noun while cage is a noun.

Word	Noun	Adjective	Verb	Adverb
cage in	No	No	Yes	No
cage	Yes	No	Yes	No

As verbs, cage in and cage are synonyms defined as:

cage in (noun)	cage (noun)
	an enclosure made or wire or metal bars in which birds or animals can be kept
	the net that is the goal in ice hockey
	a movable screen placed behind home base to catch balls during batting practice
	something that restricts freedom as a cage restricts movement

cage in (verb)	cage (verb)
confine in a cage	confine in a cage