Hurried a bit, nearly producing kidnapper's demand (6)
I believe the answer is:
ransom
'kidnapper's demand' is the definition.
(a kidnapper demands a ransom)
'hurried a bit nearly' is the wordplay.
I cannot really see how this works, but
'hurried' could be 'ran' (running is a kind of hurrying) and 'ran' is present in the answer.
'bit' could be 'o' (resembles 0, a binary digit or bit) and 'o' is present in the answer.
This explanation may well be incorrect...
'producing' acts as a link.
(Other definitions for ransom that I've seen before include "demand an extortionate price" , "Means to release prisoner" , "Fee for kidnap release" , "Payment demanded for someone's release" , "Payment, eg to kidnapper" .)