She studies stars like Monroe's art collections (10)
I believe the answer is:
astronomer
'she studies stars' is the definition.
I can't judge whether this definition defines the answer.
'monroe's art collections' is the wordplay.
'collections' indicates an anagram (I've seen 'collection' mean this (the same collection of letters)).
'monroes'+'art'='monroesart'
'monroesart' anagrammed gives 'ASTRONOMER'.
'like' acts as a link.
Can you help me to learn more?
(Other definitions for astronomer that I've seen before include "One studying the universe" , "Moon starer (anag.)" , "Stargazer" , "Sky-at-night observer" , "Dorado may be contemplated by me" .)