Being governed by chance upset constituents of a Scottish Conservative (10)

I believe the answer is:

stochastic

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'being governed by chance upset constituents' is the definition.
I can't tell whether this definition defines the answer.

'of a scottish conservative' is the wordplay.
'of' indicates an anagram (the answer comes from or 'of' the letters).
'conservative' becomes 'C' (abbreviation commonly used in UK politics).
'a'+'scottish'='ascottish'
'ascottish' is an anagram of 'stochasti'.
'stochasti'+'c'='STOCHASTIC'

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(Another definition for stochastic that I've seen is " Random".)

I've seen this clue in The Guardian.

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