Somewhat indecent and arrogant to change starter (7)

I believe the answer is:

naughty

I'm a little stuck... Click here to teach me more about this clue!

'somewhat indecent' is the definition.

I don't understand how the rest of the clue works.

(Other definitions for naughty that I've seen before include "mildly indecent" , "Badly behaved, mischievous" , "Risqu" , "Wicked" , "Dubious" .)

I've seen this clue in The Telegraph.

Want a hint initially instead of a full solution? Install my app