Yes, "west-southwest" should be hyphenated when used as a compound adjective to describe direction, such as in "the west-southwest wind." The hyphenation helps clarify that the two words are working together to modify a noun. When used as a standalone term, it does not require hyphenation.
Yes it should be hyphenated.
Yes, it should be hyphenated.
westsouthwest
Yes it should be hyphenated.
yes check-up should be hyphenated
It should be hyphenated.
Yes it should be hyphenated.
"Field" is not hyphenated.
Yes it should be hyphenated.
Yes it should be hyphenated.
No it shouldn't be hyphenated.
Self-made should be hyphenated.