Bat perhaps brings insect to leading lady (9)

I believe the answer is:

cricketer

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'bat perhaps' is the definition.
'cricketer' can be an answer for 'bat' (I've seen this before). I'm not sure about the 'perhaps' bit.

'insect to leading lady' is the wordplay.
'insect' becomes 'cricket' (cricket is a kind of insect).
'to leading lady' becomes 'er' (Elizabeth Regina).
'cricket'+'er'='CRICKETER'

'brings' acts as a link.

Can you help me to learn more?

(Other definitions for cricketer that I've seen before include "one may be out on the field" , "Bat, for example" , "Sportsman who bats or bowls" , "Player of traditional English game" , "Viv Richards or Ian Botham, say" .)

I've seen this clue in The Telegraph.

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