Crossword Genius

A hothead, one sadly falling abroad (8)

Ross

I believe the answer is:

tearaway

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'a hothead' is the definition.
(tearaway is a kind of hothead)

'one sadly falling abroad' is the wordplay.
'one sadly falling' becomes 'tear' (I can't justify this - if you can you should give a lot more credence to this answer).
'abroad' becomes 'away' (I've seen this before).
'tear'+'away'='TEARAWAY'

Can you help me to learn more?

(Other definitions for tearaway that I've seen before include "Rough" , "Hooligan" , "Yob" , "rebel" , "reckless type" .)

I've seen this clue in The Times.
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