Cut and is cross perhaps (7)
I believe the answer is:
scissor
'cut' is the definition.
(I know that scissor is a more specific form of the action cut)
'is cross perhaps' is the wordplay.
'perhaps' indicates anagramming the letters.
'is'+'cross'='iscross'
'iscross' anagrammed gives 'SCISSOR'.
'and' is the link.
(Other definitions for scissor that I've seen before include "Cut with two blades" , "Carved" .)