Quick inspection from king in flowing robe, ultimately? (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)
'king in flowing robe ultimately?' is the wordplay.
'king' becomes 'K' (abbreviation for king in chess).
'in' means one lot of letters goes inside another.
'flowing' becomes 'loose' (a garment worn loosely is flowing).
'ultimately?' says to take the final letters (I've seen 'ultimately' mean this).
The final letter of 'robe' is 'e'.
'k' inserted inside 'loose' is 'lookse'.
'lookse'+'e'='LOOK-SEE'
'from' is the link.
(Other definitions for look-see that I've seen before include "Survey, inspection" , "Dekko" , "Young's - relates stress and strain (Physics)" , "Brief inspection" , "Inspection (colloq.)" .)