Dash away to see deciding contest (6)

I believe the answer is:

runoff

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'deciding contest' is the definition.
'runoff' can be an answer for 'contest' (thesaurus). I'm not sure about the 'deciding' bit.

'dash away' is the wordplay.
'dash' becomes 'run' (I've seen this before).
'away' becomes 'off' (synonyms).
'run'+'off'='RUNOFF'

'to see' is the link.

Can you help me to learn more?

I've seen this clue in The Irish Times.

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