Old sycophant, one taking courses with demon driver? (9)

I believe the answer is:

toadeater

'old sycophant' is the definition.
(old-fashioned term for a sycophant)

'one taking courses with demon driver?' is the wordplay.
'one taking courses' becomes 'eater' (someone eating the courses of a meal).
'with' is a charade indicator (letters next to each other).
'demon driver?' becomes 'Toad' (Toad is a bad driver in The Wind in the Willows).
'eater' put after 'toad' is 'TOADEATER'.

I've seen this clue in The Times.

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