Detective Inspector to come up and record daily (7)
I believe the answer is:
diarise
'record daily' is the definition.
I know nothing about this answer so I can't judge whether this works.
'detective inspector to come up' is the wordplay.
'detective inspector' becomes 'DI'.
'to come up' becomes 'arise' ('arise' can be a synonym of 'come up').
'di'+'arise'='DIARISE'
'and' is the link.
Can you help me to learn more?
(Other definitions for diarise that I've seen before include "imitate Bridget Jones" , "Make a note of (an appointment) (S, not Z)" , "What would Bridget Jones do?" .)