Quick inspection of rising river entering Cornish town (4-3)
I believe the answer is:
look-see
'quick inspection' is the definition.
(to have a look-see is to have a quick look)
'rising river entering cornish town' is the wordplay.
'rising' is a reversal indicator (going up in a down clue).
'river' becomes 'esk' (I can't justify this - if you can you should believe this answer much more).
'entering' is an insertion indicator.
'cornish town' becomes 'looe' (I've seen this in other clues).
'esk' backwards is 'kse'.
'kse' put into 'looe' is 'LOOK-SEE'.
'of' is the link.
Can you help me to learn more?
(Other definitions for look-see that I've seen before include "Young's - relates stress and strain (Physics)" , "Dekko" , "Brief inspection" , "Inspection (colloq.)" , "Survey, inspection" .)