Every style of bet? (4,3)

I believe the answer is:

each way

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'bet?' is the definition.
I don't know anything about this answer so I cannot judge whether this works.

'every style' is the wordplay.
'every' becomes 'each' (synonyms).
'style' becomes 'way' (synonyms).
'each'+'way'='EACH-WAY'

'of' is the link.

Can you help me to learn more?

(Other definitions for each way that I've seen before include "(Of bet) for runner to win and to place" , "Like some bets" , "Kind of bet on win or place with bookie" , "For a sort of bet" , "Every method" .)

I've seen this clue in the Evening Standard.

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