Let lapdog out in expensive coat (9)

I believe the answer is:

goldplate

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'expensive coat' is the definition.
The definition and answer can be both to do with contact as well as being verbs in their base form.
Maybe they are linked in a way I don't understand?

'let lapdog out' is the wordplay.
'out' indicates anagramming the letters (out can mean wrong or inaccurate).
'let'+'lapdog'='letlapdog'
'letlapdog' with letters rearranged gives 'GOLDPLATE'.

'in' acts as a link.

Can you help me to learn more?

I've seen this clue in The Daily Express.

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