Miserly girls just avoided accidents (4,6)
I believe the answer is:
near misses
'just avoided accidents' is the definition.
(accidents or errors only just avoided)
'miserly girls' is the wordplay.
'miserly' becomes 'near' (both can mean reluctant to spend money).
'girls' becomes 'misses' ('miss' can be a synonym of 'girl').
'near'+'misses'='NEAR MISSES'
(Other definitions for near misses that I've seen before include "flying incidents" , "Close calls" .)