Iron one's tuxedo and go courting (5,4,4)

I believe the answer is:

press ones suit

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'go courting' is the definition.
I know nothing about this answer so I can't tell whether it can be defined by this definition.

'iron one's tuxedo' is the wordplay.
'iron' becomes 'press' (I've seen this before).
'tuxedo' becomes 'suit' (I am not sure about this - if you are sure you should believe this answer much more).
'press'+'ones'+'suit'='PRESS ONES SUIT'

'and' is the link.

Can you help me to learn more?

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

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