Cut volume in NHS provision? (5)

I believe the answer is:
carve
'cut' is the definition.
(carving is a kind of cutting)
'volume in nhs provision?' is the wordplay.
I cannot quite understand how this works, but
'volume' could be 'v' (abbreviation for volume in book titles) and 'v' is present in the answer.
The remaining letters 'care' is a valid word which might be clued in a way I don't understand.
This may be the basis of clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for carve that I've seen before include "Cut (cooked meat)" , "Slice (meat)" , "Chisel, sculpt" , "Cut (meat, stone, etc)" , "Slice (joint)" .)
