Big name appears nightly (4)
I believe the answer is:
star
'big name' is the definition.
(I've seen this before)
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for star that I've seen before include "may be a dwarf or a giant" , "eg The sun" , "Brilliant performer?" , "Famous actor" , "Actor in a principal role" .)