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' is a reversal indicator (in down clue: letters go upwards).
'to take in' indicates putting letters inside.
'introduction of' indicates taking the first letters.
The first letter of 'theatrical' is 't'.
'peers' back-to-front is '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" .)