There's an animated air about her tango (4)
I believe the answer is:
'her tango' is the definition.
I can't judge whether this defines the answer.
'there's an animated air about' is the wordplay.
'there's' becomes 't' (this might be a standard abbreviation I've not previously seen).
'an animated' indicates anagramming the letters.
'about' is an insertion indicator.
'air' is an anagram of 'ria'.
't' going within 'ria' is 'RITA'.
Can you help me to learn more?
(Other definitions for rita that I've seen before include "...Hayworth, ...Coolidge, ... ''Educating ...''" , "-- Hayworth, US film actress" , "Educating - - , film" , "subject of education" , "The Beatles' lovely girl" .)