Crossword Genius

Thug doc treated to split costs (2,5)

Ross

I believe the answer is:

go dutch

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'split costs' is the definition.
I don't know anything about this answer so I can't judge whether this works.

'thug doc treated' is the wordplay.
'treated' is an anagram indicator.
'thug'+'doc'='thugdoc'
'thugdoc' anagrammed gives 'GO DUTCH'.

'to' is the link.

Can you help me to learn more?

(Other definitions for go dutch that I've seen before include "share cost" , "Pay separately" , "Share expenses equally" , "to pay only half" , "Share costs equally" .)

I've seen this clue in The Sun.
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