Break a bit of a date with the girl (7)
I believe the answer is:
violate
'break' is the definition.
(synonyms)
'a bit of a date with the girl' is the wordplay.
'a bit of a date' becomes 'vite' (I can't explain this - if you can you should give a lot more credence to this answer).
'with' indicates putting letters inside.
'the girl' becomes 'ola'.
'vite' placed around 'ola' is 'VIOLATE'.
(Other definitions for violate that I've seen before include "Profane" , "Treat with great disrespect" , "Break in on; disregard" , "Break (a rule)" , "Infringe; defile" .)