Cut in British cricket, perhaps, that's not new (6)
I believe the answer is:
bisect
'cut' is the definition.
(bisecting is a kind of cutting)
'in british cricket perhaps that's not new' is the wordplay.
'in british' becomes 'b' (abbreviation e.g. in 'BBC'. I am not sure about the 'in' bit.**).
'cricket perhaps' becomes 'insect' (cricket is a kind of insect).
'that's not' indicates named letters should be taken away.
'new' becomes 'n'.
'insect' with 'n' taken away is 'isect'.
'b'+'isect'='BISECT'
Can you help me to learn more?
(Other definitions for bisect that I've seen before include "create schism?" , "Cut in half" , "Halve (angle)" , "Cut or divide in two" , "Divide in half" .)