It broadened man’s switch to a form of gambling (3-5,7)

I believe the answer is:

one-armed bandits

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'a form of gambling' is the definition.
I can't judge whether this defines the answer.

'it broadened man's switch' is the wordplay.
'switch' is an anagram indicator.
'it'+'broadened'+'mans'='itbroadenedmans'
'itbroadenedmans' anagrammed gives 'ONE-ARMED BANDITS'.

'to' is the link.

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

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