Wool-gatherer to look right on sun (9)

I believe the answer is:

stargazer

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'wool-gatherer' is the definition.
I can't tell whether this definition defines the answer.

'look right on sun' is the wordplay.
'look' becomes 'gaze' (gazing is a kind of looking).
'right' becomes 'r' (common abbreviation).
'on' is a charade indicator (letters next to each other).
'sun' becomes 'star' (I've seen this before).
'gaze'+'r'='gazer'
'gazer' put after 'star' is 'STARGAZER'.

'to' is the link.

Can you help me to learn more?

(Other definitions for stargazer that I've seen before include "I look at the Sun" , "Astronomer or astrologer" , "Daydreamer" , "Looker-up at night" , "Observer of the sky at night" .)

I've seen this clue in the Sydney Morning Herald.

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