Sit in carriage, being moved to see doctors (13)

I believe the answer is:

geriatricians

'doctors' is the definition.
(geriatrician is a kind of doctor)

'sit in carriage being moved' is the wordplay.
'being moved' is an anagram indicator.
'sit'+'in'+'carriage'='sitincarriage'
'sitincarriage' anagrammed gives 'GERIATRICIANS'.

'to see' is the link.

I've seen this clue in The Telegraph.

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