Arrived tango dancing - that's just conceited! (8)
I believe the answer is:
arrogant
'conceited' is the definition.
(thesaurus)
'arrived tango dancing' is the wordplay.
'arrived' becomes 'arr' (abbreviation used in transport).
'dancing' is an anagram indicator.
'tango' is an anagram of 'ogant'.
'arr'+'ogant'='ARROGANT'
'that's just' acts as a link.
(Other definitions for arrogant that I've seen before include "Cut a design on metal" , "Disdainful" , "Self-important and overbearing" , "Cocky" , "Public speaker" .)