wear vs have on

wear is a noun but have on is not a noun.

Word	Noun	Adjective	Verb	Adverb
wear	Yes	No	Yes	No
have on	No	No	Yes	No

As verbs, wear and have on are synonyms defined as:

wear (noun)	have on (noun)
the act of having on your person as a covering or adornment
a covering designed to be worn on a person's body
impairment resulting from long use

wear (verb)	have on (verb)
be dressed in	be dressed in
put clothing on one's body
have or show an appearance of
exhaust or get tired through overuse or great strain or stress
have on one's person
deteriorate through use or stress
go to pieces
last and be usable
have in one's aspect; wear an expression of one's attitude or personality