After half an hour, Saul was crazy for her! (6)
I believe the answer is:
ursula
'her' is the definition.
'after half an hour saul' is the wordplay.
'after' means one lot of letters go next to another.
'half' indicates taking half.
'saul' becomes 'sula' (I can't explain this - if you can you should give a lot more credence to this answer).
'hour' halved is 'ur'.
'ur' next to 'sula' is 'URSULA'.
'was crazy for' is the link.
This may not be correct. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for ursula that I've seen before include "Martyred female saint" , "Woman" , "- - Andress, the original Bond girl" , "Legendary saint said to be martyred with virgins" .)