Priestly did up the old car seat (10)

I believe the answer is:

sacerdotal

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'priestly' is the definition.
(I know that priestly can be written as sacerdotal)

'up the old car seat' is the wordplay.
'up' indicates an anagram (letters get chucked up).
'old'+'car'+'seat'='oldcarseat'
'oldcarseat' is an anagram of 'SACERDOTAL'.

'did' is the link.
This may not be correct. It may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for sacerdotal that I've seen before include "priestly" , "concerning priests" .)

I've seen this clue in the Sydney Morning Herald.

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