Shave the girl next door? (4,4)
I believe the answer is:
near miss
This clue is a double definition.
'shave' is the first definition.
(I have seen 'Close shave ' mean 'near miss' so perhaps 'shave' could also mean 'near miss')
'girl next door?' is the second definition.
(I've seen this before)
'the' is the link.
(Other definitions for near miss that I've seen before include "Almost a collision" , "Wide of the target in seminars" , "Almost hitting the target" , "narrowly averted disaster" , "Falling close to but not on the target" .)