Carves a record in rabbit tails (7)
I believe the answer is:
sculpts
'carves' is the definition.
(sculpting is a kind of carving)
'a record in rabbit tails' is the wordplay.
'a record' becomes 'LP' (abbreviation for long play record).
'in' means one lot of letters goes inside another.
'rabbit tails' becomes 'scuts' (I've seen this in another clue).
'lp' put inside 'scuts' is 'SCULPTS'.
(Other definitions for sculpts that I've seen before include "Carves" , "Does artistic work" .)