Greek character welcoming a dance (7)
I believe the answer is:
lambada
'dance' is the definition.
(Brazilian dance)
'greek character welcoming a' is the wordplay.
'greek character' becomes 'lambda' (letter from the Greek alphabet).
'welcoming' means one lot of letters goes inside another (in sense of 'inviting in').
'lambda' going around 'a' is 'LAMBADA'.
(Other definitions for lambada that I've seen before include "Fast Brazilian dance - mad Baal (anag)" , "rhythmic Latin American dance" , "Latin-American dance" , "number of Brazilian revellers" , "few steps?" .)