Take in various keys, say, and polish roughly (6-3)

I believe the answer is:

island-hop

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'take in various keys' is the definition.
The definition and answer can be both to do with motion as well as being verbs in their base form.
Perhaps they are linked in a way I don't understand?

'and polish roughly' is the wordplay.
'roughly' indicates anagramming the letters.
'and'+'polish'='andpolish'
'andpolish' is an anagram of 'ISLAND-HOP'.

'say' acts as a link.

Can you help me to learn more?

I've seen this clue in The Guardian.

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