Crossword Genius

British leader I sent up, little rascal (3)

Ross

I believe the answer is:

imp

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'little rascal' is the definition.
(imp can mean a misbehaving child)

'british leader i sent up' is the wordplay.
'british leader' becomes 'pm' (PM is an example. I am not sure about the 'british' bit.).
'sent up' says the letters should be written in reverse.
'pm'+'i'='pmi'
'pmi' in reverse letter order is 'IMP'.

Can you help me to learn more?

(Other definitions for imp that I've seen before include "Small demon" , "Young troublemaker" , "A mischievous little devil" , "Mischievous creature" , "Scallywag" .)

I've seen this clue in The Times.
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