topsy-turvy vs hugger-mugger

topsy-turvy is not a noun while hugger-mugger is a noun.

Word	Noun	Adjective	Verb	Adverb
topsy-turvy	No	Yes	No	Yes
hugger-mugger	Yes	Yes	No	Yes

As adjectives, topsy-turvy and hugger-mugger are synonyms defined as:

Other synonyms of topsy-turvy include disorderly, higgledy-piggledy, jumbled.

topsy-turvy (noun)	hugger-mugger (noun)
	a state of confusion

topsy-turvy (adjective)	hugger-mugger (adjective)
in utter disorder	conducted with or marked by hidden aims or methods
	in utter disorder

topsy-turvy (adverb)	hugger-mugger (adverb)
in disorderly haste	in secrecy
in a disordered manner