Group of stars round California primarily having renown in Hollywood (8,7)

'renown in hollywood' is the definition.
I don't know anything about this answer so I cannot judge whether this works.

'group of stars round california primarily' is the wordplay.
'group of stars' becomes 'cluster' (I've seen this in another clue).
'round california' becomes 'globular' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'primarily' says to put letters next to each other.
'cluster' after 'globular' is 'GLOBULAR CLUSTER'.

'having' is the link.

Can you help me to learn more?