Looks up to take in introduction of theatrical Hollywood star (6)
I believe the answer is:
streep
'hollywood star' is the definition.
I don't know anything about this answer so I cannot judge whether this works.
'looks up to take in introduction of theatrical' is the wordplay.
'looks' becomes 'peers' (to peer at something is to look at it).
'up' shows that the letters should be reversed in order (in down clue: letters go upwards).
'to take in' is an insertion indicator.
'introduction of' says to take the initial letters.
The first letter of 'theatrical' is 't'.
'peers' written backwards gives 'sreep'.
'sreep' going around 't' is 'STREEP'.
Can you help me to learn more?
(Other definitions for streep that I've seen before include "Inflamed swelling inside" , "Meryl - - (films)" , "Meryl --, Oscar winner" , "See 22" , "Meryl -, US actress" .)