chain up vs tie up

chain up and tie up both are verbs.

Word	Noun	Adjective	Verb	Adverb
chain up	No	No	Yes	No
tie up	No	No	Yes	No

As verbs, tie up is a hypernym of chain up; that is, tie up is a word with a broader meaning than chain up:

Other hypernyms of chain up include bind, tie down, truss.

chain up (verb)	tie up (verb)
tie up with chains	secure with or as if with ropes
	finish the last row
	restrain from moving or operating normally
	secure in or as if in a berth or dock
	invest so as to make unavailable for other purposes