Star reportedly studied docking facility (3,5)
I believe the answer is:
red dwarf
'star' is the definition.
(I know that red dwarf is a type of star)
'reportedly studied docking facility' is the wordplay.
'reportedly' shows a homophone (sound like).
'studied' becomes 'read' (to read a subject is to study it at university).
'docking facility' becomes 'dwarf' (I am not sure about this - if you are sure you should believe this answer much more).
'read' is a homophone of 'red'.
'red'+'dwarf'='RED DWARF'
Can you help me to learn more?
(Other definitions for red dwarf that I've seen before include "Small, cool star - TV show" , "Old cool star" , "Small old cooling star" .)