Adviser to Charlemagne Gauls caution regularly (6)

I believe the answer is:

alcuin

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'adviser to charlemagne' is the definition.
I can't judge whether this definition defines the answer.

'gauls caution regularly' is the wordplay.
'regularly' means one should take alternating letters (regularly take one letter, leave next etc.).
'gauls'+'caution'='gaulscaution'
The alternate letters of 'gaulscaution' are 'ALCUIN'.

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(Other definitions for alcuin that I've seen before include "Eighth century Northumbrian scholar, adviser to Charlemagne; Lucian (anag.)" , "Old scholar" .)

I've seen this clue in The Times.

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