Bishop has one group to divide (6)
I believe the answer is:
bisect
'divide' is the definition.
(I know that bisect is a kind of cut)
'bishop has one group' is the wordplay.
'bishop' becomes 'B' (abbreviation for bishop in chess).
'has' is a charade indicator (letters next to each other).
'one' becomes 'i' (Roman numeral).
'group' becomes 'sect' (I've seen this in other clues).
'b'+'i'+'sect'='BISECT'
'to' is the link.
(Other definitions for bisect that I've seen before include "cross" , "create schism?" , "Divide into two equal parts" , "Cut twenty [IN TWO]" , "Cut in half" .)