Celtic musician fitted up in Sunday newspaper (4)
I believe the answer is:
enya
'celtic musician fitted' is the definition.
I don't know anything about this answer so I can't tell whether this works.
'up in sunday newspaper' is the wordplay.
'up' is a reversal indicator (in down clue: letters go upwards).
'in' indicates the answer is hidden within the clue.
'ayne' is hidden in the letters of 'sunday newspaper'.
'ayne' in reverse letter order is 'ENYA'.
Can you help me to learn more?
(Another definition for enya that I've seen is " Irish female singer".)