Dexterous, taking centre out of some pottery (4)
I believe the answer is:
deft
'dexterous' is the definition.
(I know that dexterous can be written as deft)
'centre out of some pottery' is the wordplay.
'centre out of' suggests removing the centre (I've seen 'centre out' mean this).
'some pottery' becomes 'delft' (I've seen this before).
'delft' with its centre taken out is 'DEFT'.
'taking' is the link.
(Other definitions for deft that I've seen before include "Quick and dexterous" , "Clever" , "Quick and skilfull" , "Quick and skillful" , "Manually skilful, handling things neatly" .)