continue vs hang on

continue and hang on both are verbs.

Word	Noun	Adjective	Verb	Adverb
continue	No	No	Yes	No
hang on	No	No	Yes	No

As verbs, hang on is a hyponym of continue; that is, hang on is a word with a more specific, narrower meaning than continue:

continue (verb)	hang on (verb)
exist over a prolonged period of time	be persistent, refuse to stop
continue talking	hold the phone line open
move ahead; travel onward in time or space	fix to; attach
allow to remain in a place or position or maintain a property or feature
keep or maintain in unaltered condition; cause to remain or last
continue a certain state, condition, or activity
span an interval of distance, space or time
continue in a place, position, or situation
continue after an interruption
do something repeatedly and showing no intention to stop