Mess created by Inuit moving bearskin rug initially with igloo in disarray (9)
I believe the answer is:
imbroglio
'mess' is the definition.
(both can mean a mess or confusion)
'inuit moving bearskin rug initially with igloo in disarray' is the wordplay.
'initially' says to take the initial letters.
'with' is a charade indicator (letters next to each other).
'in disarray' indicates anagramming the letters.
The initial letters of 'inuit moving bearskin rug' is 'imbr'.
'igloo' with letters rearranged gives 'oglio'.
'imbr'+'oglio'='IMBROGLIO'
'created by' is the link.
(Other definitions for imbroglio that I've seen before include "Jumble" , "Complicated situation" , "quandary" , "Oilrig mob (anag.)" , "Confused and tangled situation" .)