Greek character welcomes a dance (7)
I believe the answer is:
lambada
'dance' is the definition.
(I've seen this before)
'greek character welcomes a' is the wordplay.
'greek character' becomes 'lambda' (letter from the Greek alphabet).
'welcomes' means one lot of letters goes inside another (in sense of 'invites in').
'lambda' enclosing 'a' is 'LAMBADA'.
(Other definitions for lambada that I've seen before include "dance in South America" , "number of Brazilian revellers" , "Latin-American dance" , "Fast Brazilian 3 dn" , "rhythmic Latin American dance" .)