More about taking alien to a falling star (6)
I believe the answer is:
meteor
'a falling star' is the definition.
(synonyms)
'more about taking alien' is the wordplay.
'about' is an anagram indicator.
'taking' means one lot of letters goes inside another.
'alien' becomes 'et' (extraterrestrial).
'more' is an anagram of 'meor'.
'meor' going around 'et' is 'METEOR'.
'to' is the link.
(Other definitions for meteor that I've seen before include "Body entering earth's atmosphere" , "Remote type of heavenly body" , "Small extraterrestrial body" , "Falling star" , "Solar System body" .)