Botching run, stay on like a despot (9)

I believe the answer is:

tyrannous

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'like a despot' is the definition.
I can't tell whether this defines the answer.

'botching run stay on' is the wordplay.
'botching' is an anagram indicator (I've seen 'botched' mean this).
'run'+'stay'+'on'='runstayon'
'runstayon' anagrammed gives 'TYRANNOUS'.

Can you help me to learn more?

(Other definitions for tyrannous that I've seen before include "Cruelly oppressive" , "Despotic" , "authoritarian" , "Strong supporter of a cause" .)

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