Fix drink that pays the bills (7,2)

I believe the answer is:

settles up

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'pays the bills' is the definition.
I don't know anything about this answer so I cannot judge whether it can be defined by this definition.

'fix drink' is the wordplay.
'fix' becomes 'settle' (I can't justify this - if you can you should give a lot more credence to this answer).
'drink' becomes 'sup' (to sup is to drink).
'settle'+'sup'='SETTLES UP'

'that' acts as a link.

Can you help me to learn more?

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

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