Disaster averted by your neighbour’s phoning you? (5,4)
I believe the answer is:
close call
'disaster averted by your' is the definition.
I can't tell whether this defines the answer.
'neighbour's phoning you?' is the wordplay.
'neighbour' becomes 'close' ('close' can be similar in meaning to 'neighbour').
'phoning you?' becomes 'call' (I can't justify this - if you can you should give a lot more credence to this answer).
'close'+'call'='CLOSE CALL'
Can you help me to learn more?
(Other definitions for close call that I've seen before include "One may be disputed in court" , "Narrow squeak" , "hang up" , "Lucky escape" , "Narrow decision" .)