Crossword Genius

Dozy type in cap parent slapped about (9)

Ross

I believe the answer is:

catnapper

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'dozy type' is the definition.
I don't know anything about this answer so I can't tell whether it can be defined by this definition.

'cap parent slapped about' is the wordplay.
'cap parent' can be anagrammed to 'CATNAPPER'.
But, I'm unsure how the anagram is indicated.

'in' acts as a link.

Can you help me to learn more?

I've seen this clue in The Sunday Times and The Times.
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