Jack leaving Lady Jane's bust to be carefully examined (8)
I believe the answer is:
analysed
'carefully examined' is the definition.
'analysed' can be an answer for 'examined' ('analyse' can be a synonym of 'examine'). I'm unsure of the 'carefully' bit.
'jack leaving lady jane's bust' is the wordplay.
'jack' becomes 'J' (playing card abbreviation).
'leaving' is a deletion indicator.
'bust' indicates an anagram.
'lady'+'janes'='ladyjanes'
'ladyjanes' with 'j' taken out is 'ladyanes'.
'ladyanes' with letters rearranged gives 'ANALYSED'.
'to be' is the link.
Can you help me to learn more?
(Other definitions for analysed that I've seen before include "Traced (something) to its source or cause" , "Broken down" , "Examined in detail the structure of something" , "Determined the constituent parts" .)