A new star beginning to look like stars generally (6)
I believe the answer is:
astral
'like stars generally' is the definition.
'a new star beginning to look' is the wordplay.
'new' indicates anagramming the letters.
'beginning to' indicates taking the first letters.
The first letter of 'look' is 'l'.
'star' anagrammed gives 'stra'.
'a'+'stra'+'l'='ASTRAL'
(Other definitions for astral that I've seen before include "Related to the stars" , "To do with stars on altars" , "Like the stars" , "19 [STELLAR]" , "Pertaining to the stars" .)